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Table of Contents Solving Equations In Quadratic Form There are several methods one can use to solve a quadratic equation. Sometimes we are called upon.

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Presentation on theme: "Table of Contents Solving Equations In Quadratic Form There are several methods one can use to solve a quadratic equation. Sometimes we are called upon."— Presentation transcript:

1 Table of Contents 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 …

2 Table of Contents Example 1: Move all terms to the left side. Solve the equation This equation is now in quadratic form.

3 Table of Contents 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.

4 Table of Contents Solve the quadratic equation.

5 Table of Contents 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 …

6 Table of Contents Solving these two quadratic equations … … we now have the solution to the original equation.

7 Table of Contents Example 2: Solve the equation Note that this equation is in quadratic form.

8 Table of Contents Use a u-substitution. Let u = expression. The equation now takes the form of a quadratic equation by substituting u for the expression.

9 Table of Contents Solve the quadratic equation.

10 Table of Contents 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 …

11 Table of Contents Solving the first equation …

12 Table of Contents Solving the second equation …

13 Table of Contents The solutions to the original equation are …

14 Table of Contents

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