Applying the Quadratic Formula (3.2.4)

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Presentation transcript:

Applying the Quadratic Formula (3.2.4) December 14th, 2016

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

The values of ‘x’ we get from these methods are called the solutions, roots, or zeros of the quadratic equation.

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

SONGS YOU DON’T WANT YOUR TEACHER TO SING

Ex. 1: Solve each of the following equations using the quadratic formula.

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.

Ex. 2: Find the discriminant for each of the following quadratic equations. Determine whether the equation will have two, one, or no solutions.