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Solving RADICAL Equations

Learn the techniques to solve radical equations and find x with square roots. Practice various equations and isolate radicals step by step to improve your math skills.

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Solving RADICAL Equations

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  1. Solving RADICAL Equations • Finding x with square roots

  2. Warm-up Solve the following equations: 1. 3x + 5 = 9 4. 2x + 3 = 5x - 9 X = 4 X = 4/3 5. -3x +2 ≥ 7 2. ½ x - 3 = 2 X ≤ -5/3 X = 10 6. -⅔x + 3 = 2 3. 2(x+4) = 9 X = 1/2 X = 3/2

  3. +3 +3 Solving by isolating Radicals √x - 3 = 4 (√x)2(7)2 √x = 7 x = 49

  4. +5 +5 Solving by isolating Radicals Your Turn! √x - 5 = 1 (√x)2(6)2 √x = 6 x = 36

  5. +3 +3 Solving by isolating Radicals ()2 (4)2 √x - 3 = 4 x - 3 = 16 x = 19

  6. - 1 -1 Solving by isolating Radicals Your Turn! ()2 (8)2 √x + 1 = 8 x + 1 = 64 x = 63

  7. + 2 -n -n +2 Solving by isolating Radicals Your Turn! ()2 ()2 √3n - 2 = √n + 6 3n - 2 = n + 6 3n = n + 8 2n = 8 n = 4

  8. - 4 -5t - 4 -5t Solving by isolating Radicals Your Turn! ()2 ()2 √3t + 4 = √5t - 6 3t + 4 = 5t - 6 3t = 5t - 10 -2t = -10 t = 5

  9. Classwork

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