If $a{{x}^{2}}+bx+c=0$ , where where $a,b$ and $c$ are real numbers and $a\ne 0$, then the s

Question

If $a{{x}^{2}}+bx+c=0$ , where where $a,b$ and $c$ are real numbers and $a\ne 0$, then the solutions are given by $x=\frac{-b\pm \sqrt{{{b}^{2}}-4ac}}{2a}$ This formula for solving quadratic equations is usually used when the quadratic expression cannot be factorised easily. Tip: Always express the quadratic equation in the general form $a{{x}^{2}}+bx+c=0$ so that the correct value for $a,b$ and $c$ can be substituted into the formula.

Accepted Answer

x = (-b +/- sqrt(b^2 - 4ac))/(2a).

Solving Quadratic Equations by using Formula

Solving Quadratic Equations by using Formula

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