Question

Find the roots of the quadratic equation x² – x – 2 = 0.

Answer 1

Given quadratic equation is x² – x – 2 = 0

`\implies` x² – x – 2 = 0

`\implies` x² – 2x + x – 2 = 0

`\implies` x(x – 2) + 1(x – 2) = 0

`\implies` (x – 2)(x + 1) = 0

`\implies` x = 2, –1

So, the roots are –1, 2.