Subjects › Algebra

Quadratics

Factorising, completing the square, and the quadratic formula.

The idea

Three methods for one job. Factorising is fastest when it works, the formula always works, and completing the square is the one that explains why the formula is what it is.

Lesson

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Questions (5)

Question Type Difficulty Drift Accuracy
Factorise: x² + 7x + 12 mcq Easy -0.80 — — (0)
One solution of x² − 5x + 6 = 0 is x = 2. What is the other? numeric Moderate 0.10 — — (0)
How many real solutions does 2x² + 3x + 5 = 0 have? mcq Hard 0.70 — — (0)
Solve x² − 6x + 2 = 0 by completing the square. Give the larger root to 3 decimal places. numeric Hard 1.10 — — (0)
A rectangular garden has a perimeter of 40 m and an area of 96 m². Find its dimensions, and explain why the pr… short Very hard 1.50 — — (0)