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 transcript:

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 Property.

Square Root Property If then

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

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

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

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

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 c 25

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 c 17