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Q: How does y2 equals 64?

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8

y2 - 16y + 64 = 0 (y - 8)2 = 0 y - 8 = 0 y = 8

8

That's the equation of a circle with its center at the origin and a radius of 8.

y2 - 64 can be written as y2 - 82, which is of the form of a2 - b2.And a2 - b2 is factored as (a-b)(a+b).Therefore, y2 - 64 is factored as (y+8)(y-8).

(x-2)^2+y^2=64

The equation of a circle centered at the origin is x2 + y2 = r2; in this case, x2 + y2 = 64.The equation of a circle centered at the origin is x2 + y2 = r2; in this case, x2 + y2 = 64.The equation of a circle centered at the origin is x2 + y2 = r2; in this case, x2 + y2 = 64.The equation of a circle centered at the origin is x2 + y2 = r2; in this case, x2 + y2 = 64.

Yes, as x-y2=0

8

y2 = 4ax is as broken down it can get because there are no like terms that can be combined.

x2 + y2 = 2r2

y2=x3+3x2

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