Answer
The solutions of \[a{{x}^{2}}+bx+c\], \[a\ne 0\], are given by \[x=\frac{-b\pm \sqrt{{{b}^{2}}-4ac}}{2a}\]called the quadratic formula.
Work Step by Step
Consider the expression
\[a{{x}^{2}}+bx+c\], where\[a\ne 0\]
The solution of this quadratic expression can be determined by the quadratic formula\[x=\frac{-b\pm \sqrt{{{b}^{2}}-4ac}}{2a}\]