Write the equation
equation in standard form
X^2-1/X+1=2​

Answers

Answer 1

Answer:

We start with the equation:

(x^2 - 1)/(x + 1) = 2

We want to rewrite this in standard form.

We can multiply both sides by (x + 1) to get:

((x^2 - 1)/(x + 1))*(x + 1) = 2*(x + 1)

x^2 - 1 = 2*(x + 1) = 2*x + 2

Now we can move all the terms to one side to get:

x^2 - 1 - 2 - 2*x = 0

x^2 - 2*x - 3 = 0

And this is a standard quadratic equation, that we can solve by using the Bhaskara's formula, this will give us the solutions:

[tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4*1*(-3)} }{2*1} = \frac{2 \pm 4}{2}[/tex]

Then the two solutions are:

x = (2 + 4)/2 = 3

x = (2 - 4)/2 = -1


Related Questions

Find slope of line that passes through the points (2,-5) and (3,4).

Answers

Answer:

The slope is 9/1 or just 9.

Step-by-step explanation:

I used the y1-y2/x1-x2 slope formula.

HELP ASAP!!!

Grocery wants to build a warehouse that is equidistant from its three stores L, M, and N. Which construction correctly finds the best location of the warehouse?

ONLY ANSWER WITH LOGIC REASONING AND NOT FOR POINTS please.

Answers

The answer selected is right. It is the circumcenter and is the most equidistantly positioned. I took the class. There’s not a fantastic way to explain it other than it just makes sense when looking at it. Try to explain your confusion in the comments and maybe I can help a little closer to your problem. Hope this helped? :)

Which items are discounted less than 15%? Select all that apply.
A) $199.99 smartphone on sale for $167.99
B) $28,100 car on sale for $25,750
C) $58 jeans on sale for $50
D) $1.99 song download on sale for $1.75
E) $129 pair of shoes on sale for $105

I WILL MARK BRAINLIST

Answers

Answer:

b

Step-by-step explanation:

Can the following properties of figures change when transformed with a rigid motion? Move each letter a-h to the appropriate box.


A. Side Lengths
B. Slope of a Side
C. Orientation
D. Area
E. Interior Angles
F. Location in the plane
G. Parallel Lines in the pre-image
H. Perimeter


Yes, Can Change No, Can't Change

Answers

John has consumed 1,600 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,800 calories per day. How many calories does he have left to consume for the day? Is 1,000 a viable solution to this problem?

Find the value of x. The figures are not drawn to scale. Pis the center of the circle.

Answers

Answer:

6.7 feet i think...

Step-by-step explanation:

the middle line is 12 feet and the dot is about in the middle of the line

Answer:

6.7

Step-by-step explanation:

if you look very closely you can see the other explanation above mine

You're Welcome!

What is the volume of a sphere with a radius of 6.1 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer:

V≈950.78m³

Step-by-step explanation:

50 elevens-1 elevens

Answers

Answer:

Step-by-step explanation:

50 elevens-1 elevens =    ( 50 -1 ) elevens  =    49 elevens

or  49 x eleven    =  49 x 11 =   _______      (use your calculator here)

Answer:

( 50 -1 ) elevens  =    49 elevens =  49 x 11 =   539

or

50 elevens - 1 elevens = (50 x 11) - (1 x 11)

550 - 11 = 539

Find the measure of angle F

Answers

Answer:

∠ F = 80°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

Sum the interior angles and equate to 720

7x + 7x + 4x + 7x + 7x + 4x = 720

36x = 720 ( divide both sides by 36 )

x = 20

Then

∠ F = 4x = 4 × 20° = 80°

Dexter’s aquarium holds 4.5 gallons of water. He needs to add some chemicals to balance the pH level in the aquarium. However, the chemicals are in liters. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of water in Dexter’s aquarium?
A 1.18 L

B 0.7 L

C 8.3 L

D 17.1 L

Answers

Answer:

the answer is d 17.1 L

Step-by-step explanation:

Find the distance to the nearest hundredth between the points A (1,-4) and B
(9,5).

Answers

you can use this formula i couldn’t type it as proper as it’s written so here it is you can easily substitute the x and y :)

Jonny has $50 in a savings account. Each week, he deposits $13 in the account. Jonny's brother has $90 in a saving account. Each week, he deposits $11 in the account. Write an algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months.

Answers

Answer:

140 + 96 m

Step-by-step explanation:

There are 4 weeks in 1 month.

Therefore:

Jonny has $50 in a savings account. Each week, he deposits $13 in the account.

$50 + $13 × 4m

The algebraic expression is given as:

50 + 52m

Jonny's brother has $90 in a saving account.

Each week, he deposits $11 in the account.

The algebraic expression is given as:

$90 + $11 × 4m

90 + 44m

An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:

Amount Jonny has + Amount his brother has

50 + 52m + 90 + 44m

= 50 + 90 + 52m + 44m

= 140 + 96 m

What is the same as 7/3

Answers

Answer:

3.5/1.5 or 14/6

Step-by-step explanation:

equivalent

14/6 is also the same as 7/3

Which inequality is equivalent to this one? y-85-2 y-8+82-2+8 oy- 8+8 ​

Answers

Answer:

The answer is the forth one , Y-8+2⩽-2+2

The equivalent inequality of y - 8 ≤  -2 is y - 8 + 8≤  -2 + 8

How to determine the equivalent inequality?

The inequality is given as:

y - 8 ≤  -2

Add 8 to both sides of the inequality

y - 8 + 8≤  -2 + 8

Hence, the equivalent inequality of y - 8 ≤  -2 is y - 8 + 8≤  -2 + 8

Read more about inequalities at:

https://brainly.com/question/11234618

There are _______ kilometers in 5,000 centimeters.

Answers

There are 0.05 kilometers in 5000 centimeters

3) The population of a type of bacteria, starts with 100, and grows at a rate of 300% every
day.
a) Write a formula that models this situation.
b) How many bacteria will there be in a week?
c) How many will there be in a month?
Pls help show work

Answers

a) 100 • 3 • x
b) 100 + 2100 = 2,200 in one week
c) 300 • 30 = 9,000 + 100 = 9,100 in a month with 30 days

Rewrite in simplest terms: 8(-10r-9)+9r

Answers

Answer:

-71r-72

Step-by-step explanation:

8(-10r-9)+9r

Distribute the 8

-80r -72  +9r

Combine like terms

-80r+9r   -72

-71r-72

The formula shows that c, the total cost of buying pizzas at Al's restaurant depends on p, the number of pizzas ordered.



c=9p



What is the independent variable in the equation?

Answers

Answer:

p, the number of pizzas ordered

Step-by-step explanation:

The independent variable in the equation will be the variable that controls the cost.

Since the total cost will depend on the number of pizzas ordered, the number of pizzas ordered will be the independent variable.

The total cost is the dependent variable, since it depends on the number of pizzas.

So, the independent variable in the equation is p, the number of pizzas ordered.

Andrew walks 3/4 mile in 10 minutes. Jill walked 4/5 in 15 minutes. What was the difference in their speeds, in miles per hour?

Answers

Answer:

1.3 mph I think

Step-by-step explanation:

If f (x ) = 3x , what is f (-2) and f (2)?

Answers

Answer:

b. -6 and 6

Step-by-step explanation:

Answer:

B. -6 and 6.

Step-by-step explanation:

It's shown that -2 and 2 are the inputs on this particular equation. That means they are the x values they want you to find the corresponding y value for. So, you can solve these by just plugging in the numbers. So, replace x in the original equation with -2 and 2 and then evaluate. [tex]f(x)=3 *-2=-6[/tex] and [tex]f(x) = 3*2=6[/tex]. Good luck!

Suppose the average driving speed on family trip is 48 mi/h. Which function rule models the distance traveled d(t) as a function of time t spent traveling. A. d(t) = t + 48 B. d(t) = 48 - t C. d(t) = 48t D. d(t) = t/48

Answers

I’m pretty sure it’s b sorry if wrong n

Can someone find the area of the rhombus?

Answers

Answer:

A=270 in^2

Step-by-step explanation:

A=d1*d2/2 formula for A using the diagonals

A=45*12/2

A=540/2

A=270 in^2

Help Me Plz 24=6a Plz

Answers

Answer:

a = 4

Step-by-step explanation:

just divide 24 by 6

a = 4

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

If your solving for A, A=4

Step-by-step explanation:

Divide 6 on both sides

WILL GIVE BRAINLIEST!
Solve. Use the discount equation
S = R − rR,
where S is the sale price, R is the regular price, and r is the discount rate.

An exercise bike is on sale for $330, having been marked down 25% off the regular price. Find the regular price.

Answers

Answer:

$440

Step-by-step explanation:

Solve the system and determine whether it is consistent or inconsistent and dependent or independent.
2x – 4y = 10
-12x + 24y = -60

Answers

Answer is in a photo below.
It is consistent and independent.
x=25, y=10

One day a retail store received a box of 24 shirts. If this shipment had 6 defective shirts, what can the store expect for upcoming shipments?

F.
A box of 32 shirts will have 12 defective shirts.

G.
A box of 40 shirts will have 10 defective shirts.

H.
A box of 48 shirts will have 3 defective shirts.

J.
A box of 64 shirts will have 8 defective shirts.

Answers

Answer:

the answer is H.

Step-by-step explanation:

Write the equation of a line with that passes through the
points (-3, -2) and (6,1)?

Answers

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: Y = 1/3x - 1

:

M = y2 - y1/ x2-x1

M = 6 - (-3) / 1 - (-2)

Y = 1/3x + b

Then substitute one of the points into the equation

-2= 1/3(-3) + b

-2 + 2 + b = 1/3(-3) +b - b + 2

-b = 1/3(-3) + 2

-b = 1

b = -1

Y = 1/3x - 1

Then i plugged it into

!

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-

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Use the distributive property to expand (simplify): 13(9 + g)​

Answers

13g+117

Step-by-step explanation:

just distribute the 13 to each value in the parentheses

Use the GCF to factor:
16h + 24m​

Answers

Answer:

8(2h +3m)

Step-by-step explanation:

Greatest common factor is 8

8(2h +3m)

I thing the gcf is 8

Carly went for a walk and jog
• She started walking.
• After a few minutes, Carly began jogging at a faster speed than she was walking
• Carly got tired then slowed down to a slower speed than she was jogging

which graph best represents the distance Carly went?

Answers

Answer:

I believe D

Step-by-step explanation:

The reason is she starts off slowly but then keeps on gaining up and up.

At the grocery store, 4 pints of ice cream cost $7.32. How much would 20 pints of ice cream cost?

Answers

Answer:

$36.6 for 20 pints of ice cream

Step-by-step explanation:

4 pints = $7.32.

20 pints = ?

you need to cross multiply or you can just multiply $7.32. with 5.

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