x2 - 2x + 65 = 0
Subtract 64 from each side: x2 - 2x + 1 = -64
(x - 1)2 = (i*8)2 where i is the imaginary square root of -1
x - 1 = +/- 8i
x = 1 +/- 8i
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x2 + 2x - 15 = (x - 3)(x + 5)
x2 + 2x -6 = 0 x2 + 2x + 1 = 7 (x + 1)2 = 7 x = -1 ± √7
2x = x2 + 4x - 3 x2 + 2x - 3 = 0 (x - 1)(x - 2) = 0
The vertex is at (-1,0).
(2x)ysquared