Question

Solve 2x2 + 3x = −8.

Answer 1

Answer:

Final answer iis choice B) $x=\frac{-3\pm i\sqrt{55}}{4}$

Step-by-step explanation:

$2x^2 + 3x =-8$

$2x^2 + 3x +8 = 0$

Compare with quadratic equation $ax^2 + bx +c = 0$, we get:

a=2, b=3, c=8

Now plug these values into quadratic formula:

$x=\frac{-3\pm \sqrt{\left(3\right)^2-4\left(2\right)\left(8\right)}}{2\left(2\right)}$

$x=\frac{-3\pm \sqrt{9-64}}{4}$

$x=\frac{-3\pm \sqrt{-55}}{4}$

$x=\frac{-3\pm i\sqrt{55}}{4}$

Hence final answer iis choice B) $x=\frac{-3\pm i\sqrt{55}}{4}$