Answers
Answer:
[tex]x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}[/tex]
Step-by-step explanation:
Given;
x² - 2x - 1 = 0
Solve by completing the square method;
⇒ take the constant to the right hand side of the equation.
x² - 2x = 1
⇒ take half of coefficient of x = ¹/₂ x -2 = -1
⇒ square half of coefficient of x and add it to the both sides of the equation
[tex]x^2 + (-1)^2 = 1 + (-1)^2[/tex]
[tex](x-1)^2 = 1 + 1\\\\(x-1)^2 = 2\\\\[/tex]
⇒ take the square root of both sides;
[tex]x-1 = +/- \ \ \sqrt{2} \\\\x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}[/tex]
Therefore, option B is the right solution.
Related Questions
What is the interest of an investment of $2,000 made at 6% simple interest per year for a time period of 9 mo.?
Answers
Answer:The answer would be $1080.
CAN SOMEONE HELP ME I'M WASTING ALL MY POINTS AND NO ONE IS HELPING ME (SLOPES) (BRAINLIEST)
Answers
Answer:
y= 65x+5
200 miles from the starting line
Step-by-step explanation:
so sorry no one has helped you but i hope this helps!
in order to find the slope intercept equation of this we have to look at the information. it says charlie has a 5 mile headstart and so that gives us our y-intercept or B
and then it says he goes 65mph meaning every hour he will go 65 miles so that gives us 65x because the x will represent the hours he is driving
so that leaves us with our equation of y=65x+5
and we have the plus 5 at the end because he will always have that 5 mile headstart
and then for the second part of the question it says where will be at 3 o'clock
so that means if he starts at 12 and now its 3 that means he drives 3 hours
so if you plug the 3 hrs into the equation we just created
it will give us 200 miles from the starting point at 12pm.
anyways hope this helps if it did please leave a like, rate it, and give me the brainliest if possible.
have a great day!
These problems are called exponents or something. I just want to make sure I got it right and please solve it.
Answers
Answer:
you have all of them right just make sure for number six you have 1/3125. you have all the work im not sure what i should solve.
On Thursday the Meat King Market sold 210 pounds of ground beef. On Friday they sold twice that amount. On Saturday they only sold 130 pounds. How much more meat did they sell on Friday than Saturday?
Answers
Use the distributive property to write an equivalent expression. 3(5x+4)
Answers
Answer: 86
Step-by-step explanation:
I got it right on edge 2020
The value of the expression 2x²y - 4xy² when x = -1 and y = 1
Answers
2x²y - 4xy²
Substituting the value of x & y,
= 2(- 1)² × 1 - 4(- 1) × 1²
= 2 × 1 × 1 + 4 × 1
= 2 + 4
= 6
Hence, The value of the expression is 6.
Eight students share 12 mini oatmeal muffins equally and 6 students share 21 mini apple muffins equally. Carmine is in both groups. What is the total number of mini muffins carmen gets?
Answers
Help.
Evaluate the following expression.
1 x (-4 + (-8))
Answers
Answer:
-12x
Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
-4+ -8= -12
anything times 1 is its self so that's ur answer
ANSWER ASAP!
Angle D is supplementary to Angle P. The measure of Angle P is 62°. What is the measure of Angle D?
Answers
Answer:
vvvvvcvv
Step-by-step explanation:
Answer:
bcekj bkfk km xmk mx
Step-by-step explanation:
aaron walks from his sisters house to his cousins house, a distance of 4 miles, in 80 minutes. what's the equation
Answers
Answer:
4 miles=80 min?
Step-by-step explanation:
Question is confusin bruv
7x -4 + x = 12.
Solve plz
Answers
Answer:
x= 2
hope it helps!!!!!!!
Bob and Nina make dog leashes . Bob can make 7 leashes in 2 hours and nina can make 4 leashes in 1 hour enter an equation that can be used to find the number of hours,t, it takes bob and Nina to make 60 leashes together. enter the number of hours ,t, it takes bob and Nina to make y0 leashes together
Answers
Answer:
8 hours
Step-by-step explanation:
t = time for Bob and Nina to make 60 leashes
Bob = 7 in 2 hr = 3.5 in 1 hr
Nina = 4 in 1 hr
3.5 + 4 = 7.5 leashes per hour
t = 60/7.5 = 8 hours
A 16 ounce box of cereal is priced at $3.68. Find the cost per ounce *
Answers
Answer:
0.23$
Step-by-step explanation:
16 ounce box of cereal is priced at =3.68$
∴1 ounce box of cereal is priced at=(3.68/16)$
=0.23$
Brainiest answer to whoever is correct
Answers
Answer:
89
Step-by-step explanation:
hope this helps!
please mark me as brainliest! thanks!
Find the first three iterates of the function f(z) = z2 + c with a value of c = 2 - 3i and an initial value of z0 = 1 + 2i.
a.
-1 + i, 2 - 3i, -17 - 29i
c.
1 + i, 2 + 3i, -17 - 29i
b.
-1 + i, 2 - 5i, -19 - 23i
d.
1 + i, 2 + 3i, -19 - 23i
Answers
Answer:
C
Step-by-step explanation:
We have: (I rewrote the function)
[tex]f(z_n)={z_{n-1}} ^2+c[/tex]
Given that:
[tex]\displaystyle c=2-3i \text{ and } z_0 = 1 + 2 i[/tex]
The first iterate will be:
[tex]\displaystyle \begin{aligned} f(z_1)&=(z_0)^2+c \\ &=(1+2i)^2+(2-3i) \\ &= (1+4i+4i^2)+(2-3i) \\ &=1+4i-4+2-3i \\ &=-1+i \end{aligned}[/tex]
The second iterate will be:
[tex]\begin{aligned}f(z_2) &=(z_1)^2+c\\ &=(-1+i)^2+(2-3i) \\&= (1-2i+i^2)+(2-3i) \\&=1-2i-1+2-3i \\&=2-5i \end{aligned}[/tex]
And the third iterate will be:
[tex]\begin{aligned} f(z_3)&=(z_2)^2+c\\ &=(2-5i)^2+(2-3i) \\ &=(4-20i+25i^2)+(2-3i) \\ &=4-20i-25+2-3i \\ &=-19-23i \end{aligned}[/tex]
Hence, our answer is C.
Solve using substitution.
y=9x-1
Y=4x-6
Answers
9x=4x-5,
5x=-5
X=-1
Hope this helps!
HELP ME AND YOULL BE AMAZING IN MY HEART
Answers
Answer:
0.1
Step-by-step explanation:
m = 2.5
n = 5
m+(79)/n
2.5 + 7 - 9
=0.5
divide by 5
= 0.1
Solve the simultaneous equations
5x + 2y = 24
3x – 2y = 16
Answers
Solve for x
4 (x+1) <_ 4x+3
Answers
Answer:
No solution
Step-by-step explanation:
There are no valuables for x that make the inequality true.
LAST PROBLEM ASAP HELP
Answers
Answer:
fourth one
Step-by-step explanation:
Debra pumped 2 gallons of water into her pool each minute for 10 minutes. Whag was ths total change in the amount of water in the pool
Answers
Answer:
There would be 20 gallons in her pool
Step-by-step explanation:
su último bolsa de dulces de Halloween contiene 3 dulces de frutas 2 chocolates 5 caramelos y 6 masticable ácido si elige un dulce al azar ¿Cuál es la probabilidad de que sea caramelo o chocolate?
Answers
Answer:
3/4 for candy 1/4 for chocolate
Step-by-step explanation:
If C = x2 + 8x + 3 and B = x – 8, find an expression that equals 3C + B in
standard form.
Answers
Answer: 3x^2 + 25x + 1
Step-by-step explanation:
3C + B
=> 3(x^2 + 8x + 3) + (x - 8)
=> 3x^2 + 24x + 9 + x - 8
=> 3x^2 + 25x + 1
A movie theater charges 8.00 for students tickets and 4.00 for popcorn. ike spent 52.00 total for tickets and three bags of pop corn.how many students tickets did he purchase.
Answers
Answer:
5 students
Step-by-step explanation:
the problem can be represented by this equation:
[tex]8x+4(3)=52[/tex]
[tex]8x+12=52[/tex]
subtract [tex]12[/tex] from both sides
[tex]8x=40[/tex]
divide both sides by [tex]8[/tex]
[tex]x=5[/tex]
plz mark me brainliest. :)
What number should go in the space multiplying by 1.44 is the same as increasing by.
Answers
Answer:
multiplying by 1.44 is the same as increasing by 44%
Step-by-step explanation:
this is because 44+100 divided by 100 is 1.44
155,152,149
what is the 30th term of the sequence plzzzzzzzzzzzzzz helpppppppppppppp ill make brainliest
Answers
Answer:
27
Step-by-step explanation:
155 , 152 , 149
term rule = n- 3
30th term
n-3
substitute n for 30
30-3=27
Answer:
68
Step-by-step explanation:
D = -3
an = a1 + (n-1)d
a30= 155 + (30-1)-3
a30 = 155 + 29(-3)
a30 = 155 + (-87)
a30 = 68
5x-14=8x+4 and 7x-4=3+8x with the work
Answers
Answer:
Step-by-step explanation:
5x-14=8x+4
-5x. +14 -5x. +14
3x=18
x=6
7x-4=3+8x
-7x. -3 -7x -3
x=-7
Find the area of the figure. Use 3.14 for it.
4 ft
8 ft
L
3 ft
4 ft
3 ft
8 ft
3 ft
The area of the figure is
ft.
Answers
Which is the better deal for frozen pizzas?: 3 for $11 or 2 for $8.50.
Answers
Answer:
This question is difficult to answer w/o context of what to consider but 2 for $8.50
Answer:
3 for 11
Step-by-step explanation:
Because you get more slices for more money
Help pls, answer choices listed!
Answers
Answer:
I believe it is answer B if it's wrong I'm very sorry/
Step-by-step explanation: