SOLUTION: I need help with the following word problem: The sum of a positive number and its square is 210. find the number. thank you!

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Question 321332: I need help with the following word problem:
The sum of a positive number and its square is 210. find the number.
thank you!

Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the number be x
square of the number will be x^2
..
x^2+x=210
x^2+x-210=0
x^2+16x-15x-210=0
x(x+16)-15(x+16)=0
(x+16)(x-15)=0
x= -16 OR 15
x=15

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
I need help with the following word problem:
The sum of a positive number and its square is 210. find the number.
thank you!

Let number be N

Then we'll have: N+%2B+N%5E2+=+210

N%5E2+%2B+N+-+210+=+0

(N + 15)(N - 14) = 0 ------ Factoring equation

N + 15 = 0, or N - 14 = 0

N = - 15 or N = 14.

Since it's stated that the number is positive, then we'll have N, or number = highlight_green%2814%29

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