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4.5 Solving Quadratic Equations by Finding Square Roots

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1 4.5 Solving Quadratic Equations by Finding Square Roots

2 A positive number s has two square roots
A number r is a square root of a number s if A positive number s has two square roots The symbol is a radical sign. The number s beneath the radical sign is called the radicand. The expression is a radical.

3 Properties of Square Roots, (a > 0, b > 0)
Product Property: Quotient Property;

4 Simplify: x

5 Simplify: x x x x x

6 In this example we will “rationalize the denominator”:

7 Solving a Quadratic Equation:
Solve: Notice the graph of Shown above, has x-intercepts a about 2.8 and –2.8

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