MATHS SUMMARY - NATURE OF ROOTS OF A QUADRATIC EQUATION (050313)

Ways to solve quadratic equations
1) Factorisation
2) Completing the square
3) General Formula
4) Calculator
5) Graph

The (b^2 - 4ac) within the general formula determines the nature of the roots of an quadratic equation.
If (b^2 - 4ac) = 0, one of the roots is 0, the other root will be a real number. (x will have one value)
If (b^2 - 4ac) < 0, both roots are real (x will have 2 values)
If (b^2 - 4ac) > 0, both roots are imaginary or complex number (x will have no values)