Demystifying - Solving by completing the square

Drills

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

Author note — to cover (Higher)

Higher page, per the A18 braces. Solve from completed-square form by isolating the bracket and rooting both sides with plus and minus, giving exact surd answers like x = −3 ± √7 as well as rounded decimals. The completing itself is the sibling page; the formula is an alternative route. (A18)

  • Fluency — direct questions on solving by completing the square, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on Solving by completing the square.