AI generatedAlgebraKS3 / GCSE

Solving a quadratic by square roots

Solving a quadratic by square roots.

  • Put the quadratic equal to zero before factorising or using the quadratic formula.
  • Keep both square-root branches. Do not divide by an expression containing , as this can remove a root.
  • Give exact answers unless rounding is requested. In a context, reject only roots that are not permitted.

Example 1

Solve. Give both roots.

Take both square roots. A positive square has a positive and a negative root.

Example 2

Solve. Give both roots.

Take both square roots. A positive square has a positive and a negative root.

Your turn

Question 1

Solve. Give both roots.

Check answer
Take both square roots. A positive square has a positive and a negative root.
Question 2

Solve. Give both roots.

Check answer
Take both square roots. A positive square has a positive and a negative root.
Question 3

Solve. Give both roots.

Check answer
Take both square roots. A positive square has a positive and a negative root.
Question 4

Solve. Give both roots.

Check answer
Take both square roots. A positive square has a positive and a negative root.
Question 5

Solve. Give both roots.

Check answer
Take both square roots. A positive square has a positive and a negative root.
← All Algebra cardsReport a mistake