Two Roots, Not One Challenge

Quadratic EquationsStep 1 of 3

Question

Solve 25x² − 49 = 0.
25x249=025x^2-49=0
x = 7/5
x = −7/5

How should 25x² − 49 be written as a difference of squares?

What you will learn

Recognise a difference of squares, use the zero-product rule, and preserve both positive and negative solutions.

Common mistake to avoid

Taking only the positive square root loses a valid solution and usually loses one mark in a board-style question.

Make this mistake visible
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