X^3+9X^2–25X–33=0
Find The root of X??

Answers

Answer 1

Answer:

x=-11, -1, and 3

Step-by-step explanation:

x^3+9x^2-25x-33=0

There are formulas to solve cubics, but that probably is not the way you are expected to go.  Here is a trial and error approach that works in this case.

Assume that the cubic can be factored and that the roots are r1, r2, and r3.  Then the factored form is

(x-r1)(x-r2)(x-r3)=0

This shows that the constant must equal the product of the roots.

(r1)(r2)(r3)=-33

One possibility is that the roots are integers.  In this case, a factor of 33 might work.  Prime factorization of 33 gives 3 and 11.  Try 3.  Then (x-3) is a factor.

Divide the cubic by (x-3).  It works. the result is

x^2+12x+11

This has factors of (x+11) and (x+1).  Therefore, the roots are 3, -1, and -11


Related Questions

Please help me . What is x equal to?
1. 2 (x+3) =10
2. 2 (x+3)=9+x
3. 2(2x+1) = 3x+8
4. 2(2x+3) =X+9

Answers

Answer:

1. x = 2

2. x = 6

3. x = 6

4. x = 1

Step-by-step explanation:  i think thats it

Answer:

x = 2, x = 3, x = 6, x = 1

Step-by-step explanation:

1

2(x + 3) = 10 ( divide both sides by 2 )

x + 3 = 5 ( subtract 3 from both sides )

x = 2

2

2(x + 3) = 9 + x ← distribute parenthesis on left side

2x + 6 = 9 + x ( subtract x from both sides )

x + 6 = 9 ( subtract 6 from both sides )

x = 3

3

2(2x + 1) = 3x + 8 ← distribute parenthesis on left side

4x + 2 = 3x + 8 ( subtract 3x from both sides )

x + 2 = 8 ( subtract 2 from both sides )

x = 6

4

2(2x + 3) = x + 9 ← distribute parenthesis on left side

4x + 6 = x + 9 ( subtract x from both sides )

3x + 6 = 9 ( subtract 6 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Vehicles passing over a bridge have two options for paying their bridge toll: paying with a live cashier or using a Speed Pass device affixed to the dashboard. Data on a busy day for cars and trucks passing over the bridge are shown here.

Answers

Answer:

(A) 0.2814

Step-by-step explanation:

you do 47 (amount of trucks with speed pass) divided by 167 (total amount of vehicles) to get 0.2814.

Answer:

A) 0.2814

Step-by-step explanation:

edge 2023

Find the value of x


Answers

Answer:

60  think

Step-by-step explanation:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Simplify Rewrite the expression in the form 5 ^ n. (5/10)/(5/12) =

Answers

Answer:

[tex]5^{-2}[/tex]

Step-by-step explanation:

[tex]5^{(10-12)}[/tex]

The simplified expression in the form 5^n is 5^−1×6.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

Form=5 ^ n

Now,

To simplify the expression, we need to first rewrite the fractions with a common denominator of 60: (5/10)/(5/12)=(5×6)/(10×6)÷(5×5)/(12×5)=(30/60)/(25/60)

Then we need to invert the second fraction and multiply: (30/60)/(25/60)=(30/60)×(60/25)=30/25

Then we need to simplify the fraction by dividing both numerator and denominator by 5: 30/25=(30÷5)/(25÷5)=6/5

Finally, we need to rewrite the fraction in the form of 5n

by using the property that a/b=a×b−1

So we have: 6/5=6×5−1=50×6×5−1=50−1×6=5−1×6

Therefore, by the fraction the answer will be 5^−1×6.

Learn more about fraction;

https://brainly.com/question/729654?referrer=searchResults

#SPJ2

Solve (x - 3)2 = 5.
O A. x = 8 and x = -2
B. X=5115
C. x=3+ V5
O D. x=-31,5

Answers

Answer:

x = 3 ± √5

Step-by-step explanation:

Given:

(x - 3)² = 5

Find:

Value of x

Computation:

(x - 3)² = 5

x² - 6x + 9 = 5

x² - 6x + 4 = 0

x = [-b ± √b² -4ac] / 2a

x = 3 ± √5

Use the scatter plot of car resale values to answer the following question
Car Resale Values
100

Answers

Lol lolz referred as in pennies lol

Suppose we select without looking one marbles de containing 5 red marbles and 7 green marbles What is the probability of selecting each of the following a) A red marble c) A purple marble b) A green marble d) Ared or a green marble a) What is the probably 3​

Answers

Answer:

a) 5/12 probability of selecting a red marble.

b) 7/12 probability of selecting a green marble.

c) 0% probability of selecting a purple marble.

d) All marbles are either red or green, so 100% probability of selecting a red or a green marble

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

a) A red marble

5 red marbles out of 5 + 7 = 12 total marbles

So, 5/12 probability of selecting a red marble.

b) A green marble

7 green marbles out of 5 + 7 = 12 total marbles

So, 7/12 probability of selecting a green marble.

c) A purple marble

There are no purple marbles, so 0% probability of selecting a purple marble.

d) A red or a green marble

All marbles are either red or green, so 100% probability of selecting a red or a green marble

Enter an inequality that represents the phrase "the sum of 7 and y is less than 9."
whats the inequality?

Answers

Answer:

Inequality Form:

y<2

Interval Notation:

(−∞,2)

The answer your looking for is: y<2

Help me and pls explain how you got the answer

Answers

Answer:

The length of the missing side is 8.5 ft

Step-by-step explanation:

To find the length of the missing side, we can use the Pythagorean theorem which states [tex]a^2 + b^2 = c^2[/tex] where c is the length of the longest side of a right-angle triangle while a and b are the other two sides. Note that the Pythagorean theorem ONLY applies to right-angle triangles.

[tex]a^2+b^2=c^2\\(6)^2+(6)^2=36+36=72=c^2\\\\c=\sqrt{72}= 8.48[/tex]

Rounding to the first decimal place, we get c = 8.5ft

find the area of the figure​

Answers

Answer:

30 units

Step-by-step explanation:

The formula for finding the area of a triangle is 1/2b x h

So b = 12

and h = 5

1/2(12) = 6

6 x 5 = 30

I could be wrong here so

Here's a little tip:

I can tell you're using G.oogle Forms, so you can press ctrl + U and find the answers in the code

2. Tyler is driving to visit his grandmother. It takes him 5 hours to travel 260 miles. How fast
was Tyler driving?

Answers

Answer:

52mph

Step-by-step explanation:

260/5

52 miles per hour is the right thing for ya bro bro yo yo bro yo if ya want ya know

determine el valor de k en la ecuación de la recta kx-3y=0 que es perpendicular a la recta y=2x+4.

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

A minibus drives 101 km in 1 hour. What is its average speed in kilometers per hour?

Answers

Answer:

Step-by-step explanation:

Average speed is distance divided by time.

s=(101km)/(1hr)

s=101 km/hr

Help me please. Not much I understand here. Please guys?

Answers

Answer:

50.2cm

Step-by-step explanation:

16/sin(65)=17.65 (2 of those)

16/tan(65)=7.46 (base)

17.65+17.65+7.46=50.23

A road rises vertically 6 feet for every 100 feet traveled horizontally. What is the rate of change in vertical feet conpared to horizontal feet as a car travels this road?

Answers

1 ft = 5,280 mi, so each foot is 1/5280 miles, and 25,000 ft = 25,000x1/5280 = 4.73 miles

What is the volume of the solid figure

Answers

Answer:

102 foot^3

Step-by-step explanation:

First, the box in the middle: 4x3x8=96

Then the 2 other boxes are: 2x(1x1x3)=6

6+96=102

what is the reciprocal of 19

Answers

Answer:

1/19

Step-by-step explanation:

hello!

In order to find the reciprocal of a number, we need to flop it over.

"Flopping over" is not the same as "changing the sign of the number"

So what does "flopping over" actually mean?

Consult the following formula:-

[tex]\sf{The~reciprocal~of~a~is\mapsto\frac{1}{a} }[/tex]

According to the formula,

[tex]\sf{The~reciprocal~of~19~is~\frac{1}{19}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)
how many bicycles were produced from 8 to 2

Answers

Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

[tex] \int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt [/tex]

[tex] \int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt [/tex]

[tex]= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}[/tex]

[tex] = 330.45 - 109.72 [/tex]

[tex] = 220.7333 [/tex]

Answer: 221

Convert 2.235 to the simplest fraction

Answers

Answer:

2 47/200

I don't know if is right, but that's what I got.

I need help asap! The answer isn't 0.

Answers

There is no solution for it

50 points! Mhanifa please help! Everyone is putting random answers when I post a question and I need this done asap! DONT ANSWER IT IF YOU DONT KNOW IT GUYS

Answers

Answer:

x = 26°

Step-by-step explanation:

The first two questions are answered here

https://brainly.com/question/21794653Question 3

Use the equation for exterior angle

Exterior angle  = sum of non-adjacent interior angles

5x - 2 = 2x + 765x - 2x = 76 + 23x = 78x = 26

Answer:

x = 26° degrees the work bellow is correct i double checked it :)

Step-by-step explanation:

Find the area of a triangle with a base length of 6 units and a height of 7 units. PLEASE SHOW YOUR WORK! (10 points)

a
10 square units

b
13 square units

c
14 square units

d
21 square units

Answers

Answer:

21 units

Step-by-step explanation:

The formula for solving a triangle is (b×h)/2

So that means 7 × 6 = 42 so then you want to divide 42 by 2

42÷2= 21

Answer:

D 21

Step-by-step explanation:

A=1/2bh is the  formula it’s simpl.

Madison will be 14 in 5 years . Which equation best describes Madison‘s age (x) today?

Answers

x + 5 = 14
or
14 - x = 5
or
14 - 5 = x
i think last one works best but all work

xy2 for x = 8 and y = 10.

Answers

Answer:

6400

Step-by-step explanation:

(8)(10)2

(80)2

6400

Answer:

160

Step-by-step explanation:

you replace x with 8 and replace y with 10

Whenever the numbers are close together such as "xy2" it mean you're multiplying

so whwn you multiply 8 * 10 * 2   you would get 160

Hoped this helped!

Can the sides of a triangle have lengths 2, 5, and 9?



Help?

Answers

No, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ( ex; 3,4,8. 3+4=7 ( the two side lengths) and the third side length is 8, which is a bigger number than 7, which means it’s not possible because the third side length is a larger number than the two side lengths. Hope that helped you :)

Answer:

no

Step-by-step explanation:

Can you help me solve this problem please

Answers

Answer:

x = 43

Step-by-step explanation:

It's not letting me post, so refer to my explanation in the screenshot below:

The rationale number between -1/3,1/4?

Answers

Answer:

1/6

Step-by-step explanation:

here is it

help asap please i will give you a heart

Answers

Answer:

32.4

Step-by-step explanation:

i knoiw it

What is the measure of angle DFE?

Answers

Answer:

28

Step-by-step explanation:

its vertically opposite

Answer:

28

Step-by-step explanation:

Vertical angles always have the same measure, so the measure of DFE would also be 28 degrees

Where is the blue dot on the number line?

Answers

The answer would be -2.1
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