Solve the quadratic inequality x^2+x-6>/= 0.

First equate the equation to zero and solve it. To solve the quadratic equation, find the multiples that make '-6' and within this which have a total sum of 1. By this method we can figure out the two brackets and hence solve our equation. Then we can use this solution to solve the quadratic inequality.x²+ x - 6 = 0 (x+3)(x-2) = 0(x+3)(x-2)>/= 0Therefore, x+3 >/= 0x>/= -3x-2>/= 0x >/= 2