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Section 7.1 – Solving Quadratic Equations. We already know how to solve quadratic equations. What if we can’t factor? Maybe we can use the Square Root.

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Presentation on theme: "Section 7.1 – Solving Quadratic Equations. We already know how to solve quadratic equations. What if we can’t factor? Maybe we can use the Square Root."— Presentation transcript:

1 Section 7.1 – Solving Quadratic Equations

2 We already know how to solve quadratic equations. What if we can’t factor? Maybe we can use the Square Root Property.

3 Square Root Property If then

4 Square Root Property p. 557 Solve each equation using the Square Root Property.

5 Square Root Property p. 557 Solve each equation using the Square Root Property.

6 Square Root Property p. 557 Solve each equation using the Square Root Property.

7 Pythagorean Theorem In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. a b c

8 Pythagorean Theorem p. 558 The lengths of the legs of a right triangle are given. Find the length of the hypotenuse. Give exact answers and decimal approximations rounded to two decimal places. 7 24 c 25

9 Pythagorean Theorem p. 558 The lengths of the legs of a right triangle are given. Find the length of the hypotenuse. Give exact answers and decimal approximations rounded to two decimal places. 8 15 c 17


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