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Solving Equations In Quadratic FormPowerPoint Presentation

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 …

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 need to be in variable x. Taking the quadratic equations …

… we now have the solution to the original equation.

- Example 2: need to be in variable x. Taking the

Solve the equation

Note that this equation is in quadratic form.

Use a u-substitution. Let need to be in variable x. Taking the u = expression.

The equation now takes the form of a quadratic equation by substituting u for the expression.

Solve the quadratic equation. need to be in variable x. Taking the

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 the first equation … need to be in variable x. Taking the

Solving the second equation … need to be in variable x. Taking the

The solutions to the original equation are … need to be in variable x. Taking the

END OF PRESENTATION need to be in variable x. Taking the

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