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Completing the Square Calculator with steps

Solve quadratics by completing the square, with fractions too. Type your problem: see the answer, then every step with the reason. Free, no sign-up.

Solved examples

Each one solved step by step, with the reason for every step.

Solve x^2 - 8x + 13 = 0 by completing the square x = 4 + √3 or x = 4 − √3
Solve 2x^2 + 8x - 10 = 0 by completing the square x = 1 or x = −5
Solve x^2 + 3x = 10 by completing the square x = 2 or x = −5
Solve x^2 + 4x = 5 by completing the square x = 1 or x = −5
Solve x^2 + 5x = 6 by completing the square x = 1 or x = −6
Solve x^2 - 2x = 3 by completing the square x = 3 or x = −1
Solve x^2 - 3x = 4 by completing the square x = 4 or x = −1
Solve x^2 + 8x = 9 by completing the square x = 1 or x = −9
Solve x^2 + x = 12 by completing the square x = 3 or x = −4
Solve x^2 - 6x = 16 by completing the square x = 8 or x = −2
Solve x^2 - 5x = 14 by completing the square x = 7 or x = −2
Solve x^2 + 2x = 8 by completing the square x = 2 or x = −4
Solve x^2 + 7x = -12 by completing the square x = −3 or x = −4
Complete the square: x^2 - 4x - 5 = 0 x = 5 or x = −1
Solve x^2 - 9x = -18 by completing the square x = 6 or x = 3

Learn how to do it yourself

Completing the square · Algebra 1 · 20 problems, printable worksheet
Completing the square with fractions · Algebra 1 · 23 problems, printable worksheet