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Learn how to simplify radical expressions and solve quadratic equations using different methods in this comprehensive lesson. Practice problems included for better understanding.
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Review of Radicals and Quadratic Equations Lesson 9.1
Simplify Radical Expressions: = = 4 =
Try: 1. (3 )2 = 3 3 = 63 2. = = or 3
Quadratic Equations Method 1: Solve for x (remember you will have ± in your answer) x2 + 9 = 25 x2 = 16 x = ± 4
Method 2: Factoring x2 + 9 = 25 x2 - 16 = 0 (x-4)(x+4) = 0 (factor) x-4 = 0 or x+4=0 x = ± 4 Notice that with either method you get the same answer.
Try this one: (5 )2 + ( )2 25 • 3 + 5 75 + 5 80 x2 = x2 = x2 = x2 = x = x=
Simplify: + -
Find AB A (0, 7) (0, 0) (10, 0) B C 72 + 102 = AB2 49 + 100 = AB2 149 = AB2