Solving quadratics can be difficult. Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots, or using the quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations, and is a good tool to have in your math tool belt.
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My students always get surprised when I show them that quadratic equations can be solved by completeting the square. It is such an elegant way to do it