SOLUTION: Solve the following equations: (The square root of x)- 1 = 3 (The square root of x^3) = 8 Show all of your work in this space.

Algebra ->  Formulas -> SOLUTION: Solve the following equations: (The square root of x)- 1 = 3 (The square root of x^3) = 8 Show all of your work in this space.      Log On


   

Question 43333This question is from textbook College Algebra with Modeling and Visualization
: Solve the following equations:
(The square root of x)- 1 = 3
(The square root of x^3) = 8
Show all of your work in this space. This question is from textbook College Algebra with Modeling and Visualization

Found 2 solutions by aaaaaaaa, cleomenius:
Answer by aaaaaaaa(138) About Me  (Show Source):
You can put this solution on YOUR website!
First one:

Second one:

Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%29 - 1 = 3
sqrt%28x%29 = 4
Next, square each side.
x = 16
b,
sqrt%28x%5E3%29= 8
= sqrt%28%28x%29%5E2%2Ax%29
xsqrt%28x%29 = 8
x^1.5 = 8
x = 8 ^.667 = 4
x = 4.
Check 4^3 = 64.
sqrt%2864%29 = 8
Cleomenius.