Quadratics
The Quadratic Formula
Quadratics
Factorising when A = 0 Factorising when A ≠ 0 Factorising special situations

Solving quadratic equations

Many quadratics cannot be easily solved by factorisation, and completing the square is a rather long and tedious process. Hence, a quadratic formula has been developed to assist with finding the solutions to any quadratic that has been given in unfactored form.
If \[ax^{2}+bx+c=0, a\neq 0\] Then \[x=\frac{b\pm \sqrt{b^{2}4ac}}{2a}\]
If \[ax^{2}+bx+c=0, a\neq 0\] Then \[x=\frac{b\pm \sqrt{b^{2}4ac}}{2a}\]