x^2 - 6x - 2 = 0
x^2 - 6x = 2
x^2 - 6x + 9 = 2 + 9 = 11
(x - 3)^2 = 11
x - 3 = +/- sqrt(11)
x = 3 +/- sqrt(11)
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x = 2 or x = 2/5
x2+6x-7 = 0 (x+3)2-7 = 0 (x+3)2-7-9 = 0 (x+3)2 = 16 x+3 = + or - 4 x = - 3 + or - 4 x = 1 or -7
x2 + 15x = -26x2 + 15x + 26 = -26 + 26x2 + 15x + 26 = 0 where a = 1, b = 15, and c = 26x = [-15 ± √(152 - 4(1)(26))]/2(1)x = (-15 ± √121)/2x = (-15 ± 11)/2x = (-15 + 11)/2 = -4/2 = -2 or x = (-15 - 11)/2 = -26/2 = -13
x2 + 8x - 2 = 0 => x2 + 8x = 2 => x2 + 8x + 16 = 2 + 16 = 18 => (x + 4)2 = 18 => x + 4 = +or- sqrt(18) = +or- 3*sqrt(2) so x = -4 +or- 3*sqrt(2)
x2+26x = 68 x2+26x-68 = 0 (x+13)2-68 = 0 (x+13)2-169-68 = 0 x+13 = +/- the square root of 237 x = -13 +/- the square root of 237