1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slega [8]
3 years ago
12

Find one value of x that is a solution to the equation:(x^2– 8)^2 + x^2 – 8 = 20x=​

Mathematics
1 answer:
Kipish [7]3 years ago
8 0

Answer:

x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

Step-by-step explanation:

Solve for x:

-8 + x^2 + (x^2 - 8)^2 = 20

Expand out terms of the left hand side:

x^4 - 15 x^2 + 56 = 20

Subtract 20 from both sides:

x^4 - 15 x^2 + 36 = 0

Substitute y = x^2:

y^2 - 15 y + 36 = 0

The left hand side factors into a product with two terms:

(y - 12) (y - 3) = 0

Split into two equations:

y - 12 = 0 or y - 3 = 0

Add 12 to both sides:

y = 12 or y - 3 = 0

Substitute back for y = x^2:

x^2 = 12 or y - 3 = 0

Take the square root of both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0

Add 3 to both sides:

x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3

Substitute back for y = x^2:

x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3

Take the square root of both sides:

Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)

You might be interested in
*** URGENT ***
ryzh [129]

Answer:si amigos si adorqa nueve tres dies=z cien bien se hasta luego

3 0
3 years ago
What is a first step to isolate the variable ?btw it’s for iready lol
kirza4 [7]

Answer:

The first step would be to multiply 2x - 1 by 6, which would be 12x - 6 .

5 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP.
alexandr1967 [171]

Answer:

Y' = (-2, 4\frac{2}{3})

Step-by-step explanation:

Given

Y = (-3,7)

Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

Y' = Scale\ Factor * Y

For, the x coordinates.

Y' = \frac{2}{3}x

Where

x = -3

Y' = \frac{2}{3} * -3

Y' = \frac{-6}{3}

Y = -2

For the y coordinates:

Y' = \frac{2}{3}y

Where

y = 7

Y' = \frac{2}{3} * 7

Y' = \frac{14}{3}

Y' = 4\frac{2}{3}

Hence:

Y' = (-2, 4\frac{2}{3})

3 0
3 years ago
Just help please need to pass
Anni [7]

Answer: \frac{1}{10}

Step-by-step explanation:

First, we need to find the common denominator

The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.

2 × 5 = 10

So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:

\frac{3*2}{5*2} = \frac{6}{10}         We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.

Do the same thing for the other one:

\frac{1*5}{2*5} = \frac{5}{10}

Finally, subtract the two fractions to find the difference between the two times:

\frac{6}{10} -\frac{5}{10} = \frac{1}{10}

The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.

7 0
3 years ago
Read 2 more answers
Select "Growth" or "Decay" to classify each function.
allochka39001 [22]

1. The growth rate equation has a general form of:

y = A (r)^t

The function is growth when r≥1, and it is a decay when r<1. Therefore:

y=200(0.5)^2t                    --> Decay

y=1/2(2.5)^t/6                  --> Growth

y=(0.65)^t/4                       --> Decay

 

2. We rewrite the given equation (1/3)^d−5 = 81

 

Take the log of both sides:

(d – 5) log(1/3) = log 81

d – 5 = log 81 / log(1/3)

d – 5 = - 4

 

Multiply both sides by negative 1:

- d + 5 = 4

So the answer is D

5 0
3 years ago
Other questions:
  • What’s a equation for one Half and one six
    7·1 answer
  • If the area of a rectangle is 8x^2+10x-3 and it’s width is 2x+3 what is the perimeter of this rectangle?
    15·1 answer
  • If my principal is 2455 Marie is 3% in my interest is for 441.90 what is my time
    6·1 answer
  • Multiplying fractions by whole numbers 7x4/8 equal
    7·2 answers
  • Add the polynomials 5x - 2 + y and -3y + 5x + 2
    8·1 answer
  • HURRY I'M TIMED!!!!! What kind of dot would be appropriate for the graph of the inequality t ≤ -3?
    11·2 answers
  • Explain how you can be<br> sure that Pro)<br> O50
    6·1 answer
  • What is the estimated difference of 28 5/12-6 7/15?
    13·2 answers
  • 10. Solve for x. Show your set-up.<br> 3x + 4<br> 8<br> 5x + 2<br> 7
    8·1 answer
  • I bet you cant answer this problem!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!