Question

1. Find the roots of the following quadratic equations by factorisation:
(i) x2-3x - 10=0
(ii) 2x² + x-6=0​

Answer 1

Step-by-step explanation:

Hope it helps you✌

Answer 2

Answer:

$(i) \: {x}^{2} - 3x - 10 = 0 \\ {x}^{2} - 5x + 2x - 10 = 0 \\ x(x - 5) + 2(x - 5) =0 \\ (x + 2)(x - 5) = 0 \\ x = - 2 \: \: and \: x = 5$

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