SOLUTION: Find an integer such that if 10 is added to the integer’s square, the result is 40 more than that integer

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Question 985157: Find an integer such that if 10 is added to the integer’s square, the result is 40 more than that integer
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let the required integer be represented by . 10 added to the integer's square is . 40 more than the integer is , and the problem says that these two results are equal. Hence:



which is to say:



When you solve this quadratic, you will obtain two roots. I'll leave it up to you to decide whether both of the roots satisfy the original problem conditions.

John

My calculator said it, I believe it, that settles it