Solving a quadratic by factorising

Factorising, then setting each bracket to zero, since a factor must be zero.

Quadratics with no constant term

Solving x² = 5x by factorising, since dividing by x loses the root x = 0.

Rearranging a quadratic before solving

Collecting everything on one side equal to zero before factorising.

Higher

Completing the square

Writing x² + bx + c as a squared bracket plus a correction.

Higher

Solving by completing the square

Solving from completed square form by rooting both sides, plus and minus.

Higher

The quadratic formula

Substituting a, b and c with their signs, and reading exact answers as surds.

Higher

Choosing how to solve a quadratic

Factorising when the factors are visible, the formula when they are not.

Higher

Practice

Solving a quadratic by factorising

Factorising, then setting each bracket to zero, since a factor must be zero.

Practice

Quadratics with no constant term

Solving x² = 5x by factorising, since dividing by x loses the root x = 0.

Practice

Rearranging a quadratic before solving

Collecting everything on one side equal to zero before factorising.

Practice

Solving by completing the square

Solving from completed square form by rooting both sides, plus and minus.

Practice

Solving equations review

Linear equations with brackets, fractions and unknowns on both sides.

Mixed review