Question

Find the roots of the following quadratic equation by applying the quadratic formula. 2x²+ x - 4 = 0​

Answer 1

Answer:

a = 2

b = 1

c = -4

$x = \frac{-b ± \sqrt{b^{2} + 4ac}}{2a}$

$x = \frac{-(1) ± \sqrt{(1)^{2} + 4(2)(-4)}}{2(2)}$

$x = \frac{-1 ± \sqrt{1 - 32}}{4}$

$x = \frac{-1 ± \sqrt{-31}}{4}$

Therefore ,

$x = \frac{-1 - \sqrt{-31}}{4}$                      &                       $x = \frac{-1 + \sqrt{-31}}{4}$