SOLUTION: The sum of a number and its square is 182. Find the number. Can someone please show me the solution and steps to take to get it?

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Question 34382: The sum of a number and its square is 182. Find the number. Can someone please show me the solution and steps to take to get it?
Answer by lyra(94) About Me  (Show Source):
You can put this solution on YOUR website!
We can write this as an equation:
x%2Bx%5E2=182
Then:
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=13,x=-14.
  • Graphical form: Equation x%2Bx%5E2=182 was fully solved.
  • Text form: x+x^2=182 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2Bx%5E2=182+%29
    For tutors: simplify_cartoon( x+x^2=182 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at x%2Bx%5E2=highlight_red%28+182+%29.
Moved these terms to the left highlight_green%28+-182+%29
It becomes x%2Bx%5E2-highlight_green%28+182+%29=0.
Look at highlight_red%28+x%2Bx%5E2-182+%29=0.
Equation highlight_red%28+x%2Bx%5E2-182=0+%29 is a quadratic equation: x^2+x-182 =0, and has solutions 13,-14
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=13,x=-14.

Universal Simplifier and Solver


Done!


Hope this helps!
Smiles,
lyra
Feel free to contact me with any further queries.