SOLUTION: the sum of a number and it's square is 72. find the numbers

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Question 279494: the sum of a number and it's square is 72. find the numbers
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the number be x
the square of it is x^2
x+x^2=72
x^2+x-72=0
x^2+9x-8x-72=0
x(x+9)-8(x+9)=0
(x+9)(x-8)=0
x= -9 or 8