SOLUTION: Please help Solve each equation. Round your answers to the nearest hundreth, if necessary. 1. 8(x-7)^2 = 200 2. 4/3(x^2 +12)- 25 = 11 Thank you very much for your will

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Please help Solve each equation. Round your answers to the nearest hundreth, if necessary. 1. 8(x-7)^2 = 200 2. 4/3(x^2 +12)- 25 = 11 Thank you very much for your will      Log On

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Question 37166: Please help
Solve each equation. Round your answers to the nearest hundreth, if necessary.
1. 8(x-7)^2 = 200
2. 4/3(x^2 +12)- 25 = 11
Thank you very much for your willingness to help me.
Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
From 8(x-7)^2 = 200, we divide both sides by 8 and get
(x-7)^2 = 25 Now take the square root of both sides
x - 7 = ±5 so that
x = 7 ± 5 = 12 or 2
From 4/3(x^2 + 12) - 25 = 11, we add 25 to both sides, then multiply by 3/4 and get
4/3(x^2 + 12) = 36
x^2 + 12 = 27
From here, subtract 12 and take the root and get
x = ± radical 15