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 ….

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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.


Solve the quadratic equation.


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.


Solve the quadratic equation.


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 …


Solving the second equation …


The solutions to the original equation are …


END OF PRESENTATION


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