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Applying the Quadratic Formula (3.2.4)
December 14th, 2016
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Solving Quadratic Equations
*We have learned 3 ways to solve quadratic equations of the form (without the use of technology): 1) Taking the square root of both sides (PEMDAS in reverse) 2) Completing the square, then finishing with strategy (1) 3) Factoring
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The values of ‘x’ we get from these methods are called the solutions, roots, or zeros of the quadratic equation.
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The Quadratic Formula-Another way to solve a quadratic equation
*Using only the coefficients of the equation , the solution can be found with the formula
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SONGS YOU DON’T WANT YOUR TEACHER TO SING
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Ex. 1: Solve each of the following equations using the quadratic formula.
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The Discriminant *The discriminant is the portion of the quadratic formula that appears inside the radical, or square root It determines how many solutions the quadratic equation will have.
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Ex. 2: Find the discriminant for each of the following quadratic equations. Determine whether the equation will have two, one, or no solutions.
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