Match the quadratic equation from List I with their roots given in List II:

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Solution

A:
$6 x^{2} + x - 12 = 0$
$6 x^{2} + 9 x - 8 x - 12 = 0$
$3 x (2 x + 3) - 4 (2 x + 3) = 0$
$(3 x - 4) (2 x + 3 x) = 0$
$x = \frac{4}{3}, \frac{- 3}{2}$
B:
$8 x^{2} + 16 x + 10 = 202$
$8 x^{2} + 16 x - 192 = 0$
$8 x^{2} + 48 x - 32 x - 192 = 0$
$8 x (x + 6) - 32 (x + 6) = 0$
$x = 4, - 6$
C:
$x^{2} - 45 x + 324 = 0$
$x^{2} - 36 x - 9 x + 324 = 0$
$x (x - 36) - 9 (x - 36) = 0$
$x = 9, 36$
D:
$2 x^{2} - 5 x - 3 = 0$
$2 x^{2} - 6 x + x - 3 = 0$
$2 x (x - 3) + 1 (x - 3) = 0$
$x = \frac{- 1}{2}, 3$

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