Question

Find the root of
quadratic equation
6x² + 5x - 6 = 0​

Answer 1

Step-by-step explanation:

the equation does not have any real roots because the value of discriminant is -12 that is ... negative

Answer 2

Answer:

$x = \frac{ - 3}{2} or \frac{2}{3}$

Step-by-step explanation:

${6x}^{2} + 5x - 6 \\ {6x}^{2} + 9x - 4x - 6 \\ 3x(2x + 3) - 2(2x + 3) \\ (2x + 3)(3x - 2) \\ equting \: \: each \: \: to \: \: 0$

$2x + 3 = 0 \\ 2x = - 3 \\ x = \frac{ - 3}{2}$

$and \\ 3x - 2 \\ 3x = 2 \\ x = \frac{2}{3}$

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