solve x^2+x-2=0
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To solve the quadratic equation x^2 + x - 2 = 0, we can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = 1, and c = -2.
Plugging these values into the formula, we get:
x = (-1 ± sqrt(1^2 - 4*1*(-2))) / 2*1
x = (-1 ± sqrt(1 + 8)) / 2
x = (-1 ± sqrt(9)) / 2
x = (-1 ± 3) / 2
Now we have two possible solutions for x:
1) x = (-1 + 3) / 2 = 2 / 2 = 1
2) x = (-1 - 3) / 2 = -4 / 2 = -2
Therefore, the solutions to the equation x^2 + x - 2 = 0 are x = 1 and x = -2.