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