Question

Find the roots of the quadratic equation by applying the quadratic formula $2x^2+x-4=0$

• A. $\frac{1\pm \sqrt{33}}{4}$
• B. $\frac{-1\pm \sqrt{33}}{4}$
  
• C. $\frac{1\pm \sqrt{31}}{4}$
• D. $\frac{-1\pm \sqrt{31}}{4}$

Answer 1

The correct option is B $\frac{-1\pm \sqrt{33}}{4}$

Given quadratic equation is $2x^2+x-4=0$
Hence, $a=2,b=1,c=-4$
Therefore
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$
$x=\frac{-1\pm \sqrt{33}}{4}$
$x=\frac{-1\pm \sqrt{33}}{4}$