x2 - 2x - 5 = 0
x2 - 2x + 1 = 6
(x - 1)2 = 6
x - 1 = ± √6
x = 1 ± √6
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x2 + 2x - 13 = 2 x2 + 2x - 15 = 0 (x + 5)(x - 3) = 0 x + 5 = 0 and x - 3 = 0 so x = -5 and x = 3
x2 + 2x - 15 = 0(x + 5) (x - 3) = 0x = -5x = +3
3x2 + 2x + 2 = 0 Can not be factored. You can however solve it for x: 3x2 + 2x = -2 x2 + 2x/3 = -2/3 x2 + 2x/3 + 1/9 = -2/3 + 1/9 (x + 1/9)2 = -5/9 x + 1/9 = ±√(-5/9) x = -1/9 ± i√(5/9) x = -1/9 ± i√5 / 3 x = -1/9 ± 3i√5 / 9 x = (-1 ± 3i√5) / 9
2x2-5 = 0 +5 +5 2x2 = 5 /2 /2 x2 = 5/2 sqrt(x2) = sqrt (5/2) x = sqrt(5/2) Ps: Sqrt means square root
If you mean x2 + 2x + 15: Then the answer would be that it's a quadratic expression with no factors. If you mean x2 - 2x + 15: Then it can be factored out to: (x - 5)(x + 3) If you mean x2 + 2x - 15: Then it can be factored out to: (x + 5)(x - 3)