SOLUTION: Find all real solutions to each problem. {{{(m+1)^(1/3)=5}}}

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Question 309024: Find all real solutions to each problem.
%28m%2B1%29%5E%281%2F3%29=5
Found 2 solutions by Fombitz, ichudov:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
just multiply the problem by itself 3 times (cube both sides)
%28m%2B1%29%5E%281%2F3%29=5
%28m%2B1%29=5%5E3
give it to the simplifier
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: m=124.
  • Graphical form: Equation %28m%2B1%29=5%5E3 was fully solved.
  • Text form: (m+1)=5^3 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%28m%2B1%29=5%5E3+%29
    For tutors: simplify_cartoon( (m+1)=5^3 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28m%2B1%29+%29=5%5E3.
Remove unneeded parentheses around terms highlight_red%28+m+%29,highlight_red%28+1+%29
It becomes highlight_green%28+m+%29%2Bhighlight_green%28+1+%29=5%5E3.
Look at m%2B1=highlight_red%28+5+%29%5Ehighlight_red%28+3+%29.
Replace constants in factor: highlight_red%28+5+%29,highlight_red%28+3+%29 with highlight_green%28+125+%29
It becomes m%2B1=highlight_green%28+125+%29.
Look at m%2B1=highlight_red%28+125+%29.
Moved these terms to the left highlight_green%28+-125+%29
It becomes m%2B1-highlight_green%28+125+%29=0.
Look at m%2Bhighlight_red%28+1+%29-highlight_red%28+125+%29=0.
Added fractions or integers together
It becomes m%2Bhighlight_green%28+-124+%29=0.
Look at m%2Bhighlight_red%28+-124+%29=0.
Removed extra sign in front of -124
It becomes m-highlight_green%28+124+%29=0.
Look at highlight_red%28+m-124+%29=0.
Solved linear equation highlight_red%28+m-124=0+%29 equivalent to m-124 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: m=124.

Universal Simplifier and Solver


Done!