SOLUTION: Find the real solutions of each equation. 31. the sqrt of 10 + 3 and within this sqrt is the sqrt of x = the sqrt of x 33. (3x +1) to the power of 1/2 = 4 39. x to the pow

Algebra ->  Radicals -> SOLUTION: Find the real solutions of each equation. 31. the sqrt of 10 + 3 and within this sqrt is the sqrt of x = the sqrt of x 33. (3x +1) to the power of 1/2 = 4 39. x to the pow      Log On


   

Question 182181This question is from textbook College Algebra
: Find the real solutions of each equation.
31. the sqrt of 10 + 3 and within this sqrt is the sqrt of x = the sqrt of x
33. (3x +1) to the power of 1/2 = 4
39. x to the power of 3/2 - 3x to the power of 1/2 = 0 This question is from textbook College Algebra

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the real solutions of each equation.
31. the sqrt of 10 + 3 and within this sqrt is the sqrt of x = the sqrt of x
I'm not sure what that means.
-----------------------------
33. (3x +1) to the power of 1/2 = 4
sqrt%283x%2B1%29+=+4
Square
3x+1 = 16
x = 5
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39. x to the power of 3/2 - 3x to the power of 1/2 = 0
x%5E%283%2F2%29+-+3x%5E%281%2F2%29+=+0
x%5E%283%2F2%29+=+3x%5E%281%2F2%29
Square
x%5E3+=+9x
x%5E2+=+9
x = 3, x = -3 (-3 involves complex roots)