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Q: How do you formulate quadratic equation that can be solve by extracting square roots?

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A quadratic equation.

Yes. You can calculate the two roots of a quadratic equation by using the quadratic formula, and because there are square roots on the quadratic formula, and if the radicand is not a perfect square, so the answer to that equation has decimal.

Square

By using the quadratic equation formula or by completing the square

A quadratic equation

Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.

The quadratic formula cannot be used to solve an equation if the coefficient of the equation x square term is what?

Rational.

A quadratic equation can be solved by completing the square which gives more information about the properties of the parabola than with the quadratic equation formula.

Using the quadratic equation formula or completing the square

Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic formula. Completing the square will always work when solving quadratic equations and is a good tool to have. Solving a quadratic equation by completing the square is used in a lot of word problems.I want you to follow the related link that explains the concept of completing the square clearly and gives some examples. that video is from brightstorm.

Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared.

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