What is the result of isolating x^2 in the equation below (x+1) ^2 + (y-8) ^2=9

x² = 16y-y²-2x-56

Step-by-step explanation:

We have given the equation:

(x+1) ² + (y-8) ²=9

We have to solve it for x².

So, the above equation is:

(x+1) ² + (y-8) ²=9

Open the square of the terms we get,

x²+1+2x+y²+64-16y = 9

x²+2x+y²-16y+65 = 9

The equation in terms of x² is:

x² = 9-2x-y²+16y-65

x² = 16y-y²-2x-56 is the answer.

x² = 8 - (y - 8) ² - 2x

x² = 16y - y² - 2x - 56

Step-by-step explanation:

∵ (x + 1) ² + (y - 8) ² = 9

∵ x² + 2x + 1 = 9 - (y - 8) ²

∴ x² = 9 - (y - 8) ² - 2x - 1

∴ x² = 8 - (y - 8) ² - 2x

OR:

∵ x² = 8 - (y² - 16y + 64) - 2x

∴ x² = 8 - y² + 16y - 64 - 2x

∴ x² = 16y - y² - 2x - 56