Question

1) Solve quadratic equations by factoring.
2x^2 + 5x - 12 = 0

Answer 1

`x = - 4, \: \: x = 1 (1)/(2)`

Explanation:

`2 {x}^(2) + 5x - 12 = 0 \\ \\ 2 {x}^(2) + 8x - 3x - 12 = 0 \\ \\ 2x(x + 4) - 3(x + 4) = 0 \\ \\ (x + 4)(2x - 3) = 0 \\ \\ x + 4 = 0, \: \: 2x - 3 = 0 \\ \\ x = - 4, \: \: x = (3)/(2) \\ \\ x = - 4, \: \: x = 1 (1)/(2)`

Answer 2

(2x-3)(x+4) —> x= 3/2 x= -4