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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)

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-(1+7 x) – 61–7 – x)= 36
wariber [46]

Answer:

Step-by-step explanation:

-(1+7 x)=6x-61-7-x)=48x=36

8 0
2 years ago
If the area of a circle is 16π meters, what is the diameter? *
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Step-by-step explanation:

7 0
3 years ago
Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She
ella [17]
Number 2 is the correct answer! 
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2 years ago
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What is the value of 54-4a^2+3b^3 when a=-2 and b=4
max2010maxim [7]

2015-12-14T20:17:50+00:00If you would like to know what is the value of <span>54 - 4 * a^2 + 3 * b^3 </span>when a = -2 and b = 4, you can calculate this using the following steps:

54 - 4 * a^2 + 3 * b^3 = 54 - 4 * (-2)^2 + 3 * 4^3 = 54 - 4 * 4 + 3 * 64 = 54 - 16 + 192 = 230

If you would like to know what is the value of 54 - 4 * a^2 - 3 * b^3 when a = -2 and b = 4, you can calculate this using the following steps:

54 - 4 * a^2 - 3 * b^3 = <span>54 - 4 * (-2)^2 - 3 * 4^3 = 54 - 4 * 4 - 3 * 64 = 54 - 16 - 192 = -154</span>
8 0
3 years ago
Read 2 more answers
Find the equation of this line... please help.
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Count down until you reach the line the point is on and count to lines until you reach the point
In this case down 2 and right 4
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And the line crosses the y-axis at 1 so you intercept is 1
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3 0
3 years ago
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