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# Solving Quadratic Equations - PowerPoint PPT Presentation

Solving Quadratic Equations. Review of Solving Quadratic Equations. ax 2 +bx +c = 0 When the equation is equal to zero, solve by factoring if you can. You can test if it can factor by calculating b 2 – 4ac. Solve Quadratic Eq. By Factoring. Set Eq = 0 Factor Set Each Factor = 0

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Presentation Transcript

ax2 +bx +c = 0

When the equation is equal to zero, solve by factoring if you can.

You can test if it can factor by calculating b2 – 4ac

Set Eq = 0

Factor

Set Each Factor = 0

Check Answers by Putting into Original Eq.

Solving Square Trinomials Equations

ax2 +bx +c =

Sometimes the equation will factor in a special way:

( + )2 =

This can sometimes happen even before you make the equation equal zero.

Solve with Perfect Square Binomial

Get Perfect Squares on Both Sides of Equation.

Take Square Root of Perfect Squares

Solve Positive Number & Neg. Number

Check Answers by Putting into Original Eq.

Solve with Perfect Square Binomial

Get Perfect Squares Binomial.

Take Square Root of Both Sides of Eq

Simplify

Check Answers by Putting into Original Eq.

How can we recognize these special cases?

The coefficient of the quadratic term is square

The constant term is square

The coefficient of the linear term is double the product of the square root of the coefficient of the quadratic and the square root of the constant term.