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When the sum of $455$ and four times a positive number is subtracted from the square of the number, the result is $117$. Find the number.

Any thoughts on what to do first? How to set up a formula maybe?

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The way I solve these problems is I start from the end. First I have $x^2$. Then the specific sum $(455+4\cdot x)$ is subtracted from that $x^2$.

The formula would then follow: $x^2 - (455+4\cdot x)$.

Clean it up and you have $x^2 - 4\cdot x - 455$.

Would you know how to figure out the positive number now?

Hope this helped

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  • $\begingroup$ Wow, beautiful! That helped a lot. Found the number. Thank you for the help. $\endgroup$ – Aaron Sep 12 '13 at 1:48

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