WARM UP MULTIPLE CHOICE Which is an example

9. 2 Solving Quadratic Equations by Finding Square Roots GOAL Solve a quadratic equation

9. 2 Solving Quadratic Equations by Finding Square Roots A QUADRATIC EQUATION is an

9. 2 Solving Quadratic Equations by Finding Square Roots QUADRATIC EQUATION When b =

9. 2 Solving Quadratic Equations by Finding Square Roots

9. 2 Solving Quadratic Equations by Finding Square Roots Checkpoint Solve Quadratic Equations Solve

9. 2 Solving Quadratic Equations by Finding Square Roots EXAMPLE 2 Solve Quadratic Equations.

9. 2 Solving Quadratic Equations by Finding Square Roots YOUR TURN Textbook pages 508

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WARM UP MULTIPLE CHOICE Which is an example of a perfect square? a) -100 b) 10 c) 121 d) 150 2

WARM UP MULTIPLE CHOICE Which is an example of a perfect square? a) -100 b) 10 c) 121 d) 150 1

WARM UP MULTIPLE CHOICE Which is an example of a perfect square? a) -100 b) 10 c) 121 d) 150 0

9. 2 Solving Quadratic Equations by Finding Square Roots GOAL Solve a quadratic equation by finding square roots. KEY WORDS • Quadratic equation • Leading coefficient

9. 2 Solving Quadratic Equations by Finding Square Roots A QUADRATIC EQUATION is an equation that can be written in the standard form: 2 ax + bx + c = 0 a is called the leading coefficient.

9. 2 Solving Quadratic Equations by Finding Square Roots QUADRATIC EQUATION When b = 0, this equation becomes ax 2 + c = 0. One way to solve a quadratic equation of the form ax 2 + c = 0 is to isolate the x 2 on one side of the equation. Then find the square root(s) of each side.

9. 2 Solving Quadratic Equations by Finding Square Roots

9. 2 Solving Quadratic Equations by Finding Square Roots Checkpoint Solve Quadratic Equations Solve the equation. Write the solutions as integers if possible. Otherwise, write them as radical expressions. 1. x 2 = 81 2. x 2 = 11 3. x 2 = 25 4. x 2 = 10

9. 2 Solving Quadratic Equations by Finding Square Roots EXAMPLE 2 Solve Quadratic Equations. Solve the equation. a) x 2 = 0 b) x 2 = -1 SOLUTION b) x 2 = 0 Write original equation. x=± 0 Find the square roots. The only solution is zero

9. 2 Solving Quadratic Equations by Finding Square Roots EXAMPLE 2 Solve Quadratic Equations. Solve the equation. a) x 2 = 0 b) x 2 = -1 SOLUTION b) x 2 = -1 Write original equation. x 2 = -1 has no real solution because the square of a real number is never negative. There is no real solution.

9. 2 Solving Quadratic Equations by Finding Square Roots

9. 2 Solving Quadratic Equations by Finding Square Roots Checkpoint Solve Quadratic Equations Solve the equation. 1. x 2 – 1 = 0 2. 2 x 2 – 72 = 0 3. 27 - 3 x 2 = 0

9. 2 Solving Quadratic Equations by Finding Square Roots YOUR TURN Textbook pages 508 #s 18 - 48