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ALGEBRA II HONORS/GIFTED @

ALGEBRA II HONORS/GIFTED @. SECTION 6-6 : SOLVE RADICAL EQUATIONS. Work the problem that corresponds to your group number. Evaluate. Evaluate. Expand. (x – 5) 2 Solve. x 2 + 6x + 9 = x + 45 Solve. Solve. Solve. x = 2 (Square both sides and solve.). 16 -8 x 2 – 10x + 25 -9, 4

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ALGEBRA II HONORS/GIFTED @

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  1. ALGEBRA II HONORS/GIFTED @ SECTION 6-6 : SOLVE RADICAL EQUATIONS

  2. Work the problem that corresponds to your group number. Evaluate. Evaluate. Expand. (x – 5)2 Solve. x2 + 6x + 9 = x + 45 Solve. Solve. Solve. x = 2 (Square both sides and solve.) 16 -8 x2 – 10x + 25 -9, 4 36 32 2

  3. RADICAL EQUATIONS : have variables as part of the radicand. Examples : STEPS FOR SOLVING RADICAL EQUATIONS Isolate the radical on one side of the equation. Get “rid” of the radical by raising both sides to the necessary power. Solve the equation. CHECK YOUR ANSWER(S) for extraneous solutions.

  4. Solve each equation. Remember to check your answers. Answer : 10. 7 is extraneous. Answer : 3 Answer : -5. 10 is extraneous. Answer : 11

  5. How do we solve this equation? We need to get x1 = answer. So, we need to multiply the exponent ¾ by its reciprocal, 4/3, to get the exponent to be one. Moral of the story : Raise both sides to the reciprocal of the exponent; in this case 4/3. x = 81 Check your answer.

  6. Answer : 32 Answer : 29

  7. TRUISMS

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