SOLUTION: The sum of a number and it's square is 272.Find the number.

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Question 827528: The sum of a number and it's square is 272.Find the number.
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
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xx + x = 272
xx + x - 272 = 0
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the above quadratic equation is in standard form, with a=1, b=1, and c=-272
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 1 -272
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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x = 16
x = -17
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the problem has two solutions:
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answer:
number = 16
OR
number = -17
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