How do you write x^{2}+y^{2}+8x+7=0 in standard form?

Anika Osborne

Anika Osborne

Answered question

2022-01-28

How do you write x2+y2+8x+7=0 in standard form?

Answer & Explanation

tainiaadjouctlw

tainiaadjouctlw

Beginner2022-01-29Added 14 answers

Explanation:
Given: x2+y2+8x+7=0
You must use completing of the square. First group the x-terms together, the y-terms together and put the constants on the right side:
(x2+8x)+y2=7
To complete the square, half the 8x term constant =4 and add the square of this constant (42=16) to the right side.
We do this because (x+4)2=x2+8x+16. When the square is completed there will always be a constant that needs to be added to the other side to keep the equation balanced.
(x+4)2+y2=7+16
(x+4)2+y2=9
This is the standard form of a circle: (xh)2+(yk)2=r2
where the center is (h,k) and the radius = r

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