Question 279123: if a number is added to its square, the result is 56. find the number. Found 3 solutions by mananth, jsmallt9, nabla:Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Let the number be x
the other number will be x^2
x+x^2=56
x^2+x-56=0
x*2+8x-7x-56=0
x(x+8)-7(x+8)=0
(x+8)(x-7)=0
You can put this solution on YOUR website! A solution provided by another tutor finds that
x = -8 or x = 7
And for some reason he/she suggests that x = -8 does not fit the problem. Both numbers are correct, not just x = 7.
You can put this solution on YOUR website! The question asks for a single number i.e. an element of the solution set. Both -8 and 7 fit this criteria, so either in fact can be offered as an answer that follows from a proper understanding of the question.
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