Squaring a value and finding its square root is the opposite

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Presentation transcript:

Squaring a value and finding its square root is the opposite Lesson 10.3 EQ: How do you solve a radical equations? Objective: To solve Radical equations Squaring a value and finding its square root is the opposite EX: Square both sides EX: – 3 – 3 Subtract 3 x = 49

EX: – 2 – 2 check X = 23 EX: – 3 – 3 X = 13 check + 4 + 4 Square both sides – 2 – 2 check X = 23 EX: Subtract 3 – 3 – 3 Square both sides X = 13 check + 4 + 4

Check both answers for extraneous solutions Square both sides EX: Solve for x Simplify Write in standard form – x – 2 – x – 2 Factor 0 = (x + 1)(x – 2) Solve for x x = –1 and x = 2 Check both answers for extraneous solutions X = 2 only Yes

Solving with radicals on both sides. 8x – 7 = 6x + 7 2x = 14 X = 7

Cube Root Equation 2x + 9 = -27 2x = -36 X = -18