Question

I want to know the answer of the above question

Answer 1

$f(x) = 6x {}^{2} + x - 12 = 0$


$6x {}^{2} + 9x - 8x - 12 = 0$

$3x(2x + 3) - 4(2x + 3) = 0$

$(3x - 4)(2x + 3)$

x = 4/3 and -3/2


alpha + beta = - b / a

4/3 + (-3/2) = - 1/ 6

8 - 9/6 = -1/6

-1/6 = -1/6


alpha × beta = c / a

4/3 × -3/2 = -12 / 6

-2 = -2

Hence verified



Thanks