4.5 Solving Quadratic Equations by Finding Square Roots

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Presentation transcript:

4.5 Solving Quadratic Equations by Finding Square Roots

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.

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

Simplify: x

Simplify: x x x x x

In this example we will “rationalize the denominator”:

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