9.2 Solving Quadratic Equations using square roots

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Presentation transcript:

9.2 Solving Quadratic Equations using square roots

Determining How Many Solutions of x² = d When d > 0, 2 real solutions When d = 0, 1 real solution When d < 0, 0 real solutions

How Many Solutions 1.) 2x²-32 =0 2.) 5x² +8 =8 x² + 8 =5

To Solve in the form ax² =k Divide both sides by a Take the square root of both sides Remember to use + Simplify the square root

Example 1: Solve

Example 2: Solve

To solve in the form (x +a)²=k Take the square root of both sides Solve for x

Example 3: Solve +5 +5

Example 4: Solve -2 -2

Example 5: 4(x-3)²=9

Homework TB Page 466 (2-32) even