SOLUTION: Can you please help me with this question? A student began solving the equation x^3/5=5 by cubing each side. What will the student have to do next? What could have the student d

Algebra ->  Equations -> SOLUTION: Can you please help me with this question? A student began solving the equation x^3/5=5 by cubing each side. What will the student have to do next? What could have the student d      Log On


   

Question 965679: Can you please help me with this question?
A student began solving the equation x^3/5=5 by cubing each side. What will the student have to do next? What could have the student done to solve the equation in just one step?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3%2F5=5

Not just one step.

Maybe one step if first step is done in ones head and the next one done on paper.

root%283%2C%28x%5E3%29%29=root%283%2C25%29=x

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Can you please help me with this question?
A student began solving the equation x^3/5=5 by cubing each side. What will the student have to do next? What could have the student done to solve the equation in just one step?


x%5E3%2F5+=+5

%28x%5E3%2F5%29%5E3+=+5%5E3 ------ Cubing each side, as student did

%28x%5E9%2F5%5E3%29+=+5%5E3 ------- Next step

All this doesn't make any sense. Did the student cube each side, or took the CUBE ROOT of each side?



Correct solution:

x%5E3%2F5+=+5

x%5E3+=+25 ------ Cross-multiplying

x+=+root%283%2C+25%29