Completing the Square Worksheet

Solve quadratic equations by rewriting each expression as a perfect square.

Math9th Grade10th Grade

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0 of 1 answered

01 Solve each algebra problem.

Use exact answers: x^2 for powers, sqrt(2) for radicals and i for imaginary numbers. Separate solutions with commas.

1. Complete the square to solve x^2+4x-5 = 0 over the real numbers. List all distinct solutions, or write no solution.
2. Complete the square to solve x^2 = 0 over the real numbers. List all distinct solutions, or write no solution.
3. Complete the square to solve x^2+2x-5 = 0 over the real numbers. List all distinct solutions, or write no solution.
4. Complete the square to solve x^2-4x+13 = 0 over the real numbers. List all distinct solutions, or write no solution.
5. Complete the square to solve 15x^2-32x+16 = 0 over the real numbers. List all distinct solutions, or write no solution.
6. Complete the square to solve 4x^2-40x+98 = 0 over the real numbers. List all distinct solutions, or write no solution.