Question

the roots of quadratic equation 2x²+x+4=0 are:​

Answer 1

Answer:

$\frac{-1 + i\sqrt{31} }{4} and \frac{-1 - i\sqrt{31} }{4}$

Step-by-step explanation:

$x = \frac{-b \pm \sqrt{b^2-4ac} }{2a} \\ = \frac{-1 \pm \sqrt{1-4*2*4} }{2*2} \\ =\frac{-1 \pm \sqrt{-31} }{4} \\ = \frac{-1 \pm i\sqrt{31} }{4} \\the roots will be\\\frac{-1 + i\sqrt{31} }{4} and \frac{-1 - i\sqrt{31} }{4}$