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2.13 Use Square Roots to Solve Quadratics Example 1 Solve quadratic equations Solution Write original equation. 5 Solve the equation. Add __ to each side.

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Presentation on theme: "2.13 Use Square Roots to Solve Quadratics Example 1 Solve quadratic equations Solution Write original equation. 5 Solve the equation. Add __ to each side."— Presentation transcript:

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2 2.13 Use Square Roots to Solve Quadratics Example 1 Solve quadratic equations Solution Write original equation. 5 Solve the equation. Add __ to each side. Take sq root of each side. Simplify. The solutions are ____ and ____.

3 2.13 Use Square Roots to Solve Quadratics Example 1 Solve quadratic equations Solution Write original equation. 7 Solve the equation. Subtract __ from each side. Negative real numbers do not have real ____________. square roots So, there is ____________. no solution

4 2.13 Use Square Roots to Solve Quadratics Example 2 Take square root of a fraction Solution Write original equation. 25 Solve the equation 25k 2 = 9. Divide each side by ____. Take sq root of each side. Simplify. The solutions are ____ and ____.

5 2.13 Use Square Roots to Solve Quadratics Checkpoint. Solve the equation.

6 2.13 Use Square Roots to Solve Quadratics Checkpoint. Solve the equation.

7 2.13 Use Square Roots to Solve Quadratics Example 3 Approximate solutions of a quadratic equation Solution Write original equation. 3 Subtract __ from each side Divide each side by ___. Take sq roots of each side. The solutions are ______ and _____. Solve 4x 2 + 3 = 23. Round the solution to the nearest hundredth. 4 Use a calculator. Round to the nearest hundredth.

8 2.13 Use Square Roots to Solve Quadratics Checkpoint. Solve the equation. Round the solutions to the nearest hundredth.

9 2.13 Use Square Roots to Solve Quadratics Checkpoint. Solve the equation. Round the solutions to the nearest hundredth.

10 2.13 Use Square Roots to Solve Quadratics Example 4 Solve a quadratic equation Solution Write original equation. Divide each side by ___. Take sq roots of each side. Solve 5(x + 1) 2 = 30. Round the solution to the nearest hundredth. 5 Subtract __ from each side 1

11 2.13 Use Square Roots to Solve Quadratics Checkpoint. Solve the equation. Round the solutions to the nearest hundredth, if necessary.

12 2.13 Use Square Roots to Solve Quadratics Checkpoint. Solve the equation. Round the solutions to the nearest hundredth, if necessary.

13 2.13 Use Square Roots to Solve Quadratics Pg. 129, 2.13 #1-23

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