Question

6xSquare- 14x - 12 solve

Answer 1

$6 {x}^{2} - 14x - 12 \: solve \: by \: factorisation \: method \\ \\ ans. \: 6 {x}^{2} - 14x - 12 \\ \\ = > 6 {x}^{2} + 4x - 18x - 12 = 0 \\ \\ = > 2x(3x + 2) - 6(3x + 2) = 0\\ \\ = >( 3x + 2)(2x - 6) = 0 \\ \\ = > 3x + 2 = 0 \\ \\ = > x = \frac{2}{3} \\ \\ = > x = 3 \\ \\ zeroes \: of \: this \: equation = \frac{2}{3} and \: 2$

Answer 2

$6 {x}^{2} - 14x - 12 \: solve \: by \: discriminant \\ \\ ans. \: \: 6 {x}^{2} - 14x - 12 = 0 \\ \\ = > let \: a = 6,b = - 14 \: and \: c = - 12 \\ \\ = > {b}^{2} - 4ac = 0 \\ \\ = > ( { - 14})^{2} - 4 \times 6 \times - 12 \\ \\ = > 196 + 288 \\ \\ = 484 \: ans....$