Question

Find the roots of quadratic equation by factorisation:
1. x2 - 3x - 10= 0
2. 2xsquare+ x- 6=0​

Answer 1

${x}^{2} - 3x - 10 = 0 \\ {x}^{2} + 5x - 2x - 10 = 0 \\ x(x + 5) - 2(x + 5) \\ > > > > > > (x - 2)(x + 5) < < < < < < \\ 2 {x}^{2} + x - 6 = 0 \\ 2 {x}^{2} + 4x - 3x - 6 = 0 \\ 2x(x + 2) - 3(x + 2) \\ > > > > > > (2x - 3)(x + 2) < < < < < <$