***Equation in standard form**

Below, I have the original equation rewritten in a way to show you
that it is quadratic in form. Note how when you square *y* squared you get* y* to the fourth, which is what
you have in the first term.

***When in stand. form, let t = the expression following b.**

***Substitute t in
for y squared**

Note how we ended up with a quadratic equation when we did our substitution.
From here, we need to solve the quadratic equation that we have created.

You can use any method you want to solve the quadratic equation: factoring,
completing the square or quadratic formula.

I'm going to factor it to solve it.

***Use Zero-Product Principle**

***Set 1st factor = 0 and solve**

***Set 2nd factor = 0 and solve**

***First solution**

***Second solution**

***First solution**

***Second solution**

***True statement**

***True statement**

This equation is already in standard form.

Below, I have the original equation rewritten in a way to show you
that it is quadratic in form. Note how when you square *x* to the 1/2 power you get* x*, which is what you
have in the first term.

***When in stand. form, let t = the expression following b.**

***Substitute t in
for x to the 1/2 power**

Note how we ended up with a quadratic equation when we did our substitution.
From here, we need to solve the quadratic equation that we have created.

You can use any method you want to solve the quadratic equation: factoring,
completing the square or quadratic formula.

I'm going to factor it to solve it.

***Use Zero-Product Principle**

***Set 1st factor = 0 and solve**

***Set 2nd factor = 0 and solve**

***Inverse of taking it to the 1/3 power is**
**raising it to the 3rd power**

***Inverse of taking it to the 1/2 power is**
**raising it to the 2nd power**

***True statement**

***True statement**

This equation is already in standard form.

Note how the original equation has the exact same expression in the
two ( )'s and that the first ( ) is squared and the 2nd (
) is to the one power. This equation is quadratic in form.

***Substitute t in
for x minus 5**

Note how we ended up with a quadratic equation when we did our substitution.
From here, we need to solve the quadratic equation that we have created.

You can use any method you want to solve the quadratic equation: factoring,
completing the square or quadratic formula.

I'm going to factor it to solve it.

***Use Zero-Product Principle**

***Set 1st factor = 0 and solve**

***Set 2nd factor = 0 and solve**

***True statement**

***True statement**

Last revised on Dec. 16, 2009 by Kim Seward.

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