Posted by JoniAnne on Wednesday, October 20, 2010 at 11:50am.
1. Correct.
2. 3^3*sqrt(2 - 5x) = 3,
27*sqrt(2 - 5x) = 3,
Divide both sides by 27:
sqrt(2 - 5x) = 3/27 = 1/9,
Square both sides and get:
2 - 5x = 1/81,
-5x = 1/81 - 2,
-5x = 1/81 - 162/81,
-5x = -161/81,
Multiply both sides by -1/5:
x = (-161 / 81) * (-1/5) = 161 / 405.
CHECK:
3^3*sqrt(2 - (5*161/405)) =
27*sqrt(2 - 1.9877) =
27*sqrt(0.01235) =
27 * 0.11111 = 3.
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