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## Solving Equations In Quadratic Form

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**Solving Equations In Quadratic Form**• There are several methods one can use to solve a quadratic equation. Sometimes we are called upon to solve an equation that is in Quadratic Form. • A quadratic equation is an equation that can be simplified into the form … • An equation in quadratic form can be simplified into the form …**Example 1:**Solve the equation Move all terms to the left side. This equation is now in quadratic form.**We will solve the equation with what is called a**u-substitution. Let u = expression. The equation now takes the form of a quadratic equation by substituting u for the expression.**Since the original equation was in variable x, our solutions**need to be in variable x. Taking the solutions of u and combining them with the original u-substitution equation we get …**Solving these two quadratic equations …**… we now have the solution to the original equation.**Example 2:**Solve the equation Note that this equation is in quadratic form.**Use a u-substitution. Let u = expression.**The equation now takes the form of a quadratic equation by substituting u for the expression.**Since the original equation was in variable x, our solutions**need to be in variable x. Taking the solutions of u and combining them with the original u-substitution equation we get …