The solution of the equation 2 x^2 + 3x - 9 0 is given by - Vidyadip

MCQ

The solution of the equation $2{x^2} + 3x - 9 \le 0$ is given by

A
$\frac{3}{2} \le x \le 3$
✓
$ - 3 \le x \le \frac{3}{2}$
C
$ - 3 \le x \le 3$
D
$\frac{3}{2} \le x \le 2$

✓

Answer

Correct option: B.

$ - 3 \le x \le \frac{3}{2}$

b
(b) $2{x^2} + 3x - 9 \le 0$

==> $2{x^2} + 6x - 3x - 9 \le 0$

==> $2x(x + 3) - 3(x + 3) \le 0$

==> $(2x - 3)(x + 3) \le 0$

==> $ - 3 \le x \le 3/2$.

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