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 182180: 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

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


31. I think you mean:



Square both sides:



Add -10 to both sides:



Square both sides:









Check answers:





is extraneous





is valid.

33.



This is exactly the same as:



Just square both sides and solve.

39. Two possible interpretations:






John