Question

The roots of the quadratic equation 2x² +x -6=0 are____
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Answer 1

Answer:

$2 {x}^{2} + x - 6 = 0 \\ \\ 2 {x}^{2} + 4x - 3x - 6 = 0 \\ \\ 2x(x + 2) - 3(x + 2) = \\ \\ (x + 2) \: (2x - 3) = 0 \\ \\ x = - 2 \: \: \: \: or \: \: x = \frac{3}{2}$

So the roots are

$- 2 \: and \: \frac{3}{2}$