Question

What are the solutions of 3x^2-x+4=0

Answer 1

3x² -x+4=0

We can use quadratic formula
a=3, b= -1, c=4
 $x= \frac{-b+/- \sqrt{b^{2}-4ac} }{2a} \\ \\ x= \frac{1+/- \sqrt{1-4*3*4} }{2*3} \\ \\ x = \frac{1+/- \sqrt{-47} }{6} This equation does not have real roots, it has only 2 imaginary roots.$

$x= \frac{1+ \sqrt{47}i }{6} \\ \\ x= \frac{1- \sqrt{47}i }{6}$