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Solving Quadratic Equations

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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

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Solve Quadratic Eq. By Factoring 1.Set Eq = 0 2.Factor 3.Set Each Factor = 0 4.Check Answers by Putting into Original Eq.

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Solving Square Trinomials Equations ax 2 +bx +c = Sometimes the equation will factor in a special way: ( + ) 2 = This can sometimes happen even before you make the equation equal zero.

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Solve with Perfect Square Binomial 1.Get Perfect Squares on Both Sides of Equation. 2.Take Square Root of Perfect Squares 3.Solve Positive Number & Neg. Number 4.Check Answers by Putting into Original Eq.

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Solve with Perfect Square Binomial 1.Get Perfect Squares Binomial. 2.Take Square Root of Both Sides of Eq 3.Simplify 4.Check Answers by Putting into Original Eq.

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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.

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You try:

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