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.

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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:
cartoon%28sqrt%28x%29+-+1+=+3%2C%0D%0Asqrt%28x%29+-+1+=+highlight%283%29%2C%0D%0Asqrt%28x%29+-+1+-+highlight%283%29+=+0%2C%0D%0Asqrt%28x%29+-+4+=+0%2C%0D%0Asqrt%28x%29+-+highlight%284%29+=+0%2C%0D%0Asqrt%28x%29+=+highlight%284%29%2C%0D%0Asqrt%28x%29+=+4%2C%0D%0A%28sqrt%28x%29%29%5E2+=+4%5E2%2C%0D%0Ax+=+16%0D%0A%29
Second one:
cartoon%28sqrt%28x%5E3%29+=+8%2C%0D%0A%28sqrt%28x%5E3%29%29%5E2+=+8%5E2%2C%0D%0Ax%5E3+=+64%2C%0D%0Ax+=+root%283%2C+64%29%2C%0D%0Ax+=+4%0D%0A%29

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.