The sum of a number and its square is 132. How do you find the number?

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Answer 1 · 2016-11-23T04:00:51

Let the number be #x#. Then its square is #x^2#.

#x^2 + x = 132#

#x^2 + x - 132 = 0#

#(x + 12)(x- 11) = 0#

#x = -12 and 11#

#:.#The number is either #-12# or #11#.

Hopefully this helps!