# 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?
You can put this solution on YOUR website!
We can write this as an equation:

Then:
Solved by pluggable solver: EXPLAIN simplification of an expression

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

### DETAILED EXPLANATION

Look at .
Moved these terms to the left
It becomes .

Look at .
Equation is a quadratic equation: x^2+x-182 =0, and has solutions 13,-14
It becomes .
Result:
This is an equation! Solutions: x=13,x=-14.

### Universal Simplifier and Solver

Done!

Hope this helps!
Smiles,
lyra
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