Question 789754: the sum of the square of a positive number and the square of 4 more than the number is 250. What is the number? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! let the number be x
other number = (x+4)
x^2+(x+4)^2=250
x^2+x^2+8x+16=250
2x^2+8x+16-250=0
2x^2+8x-234=0
/2
x^2+4x-117=0
x^2+13x-9x-117=0
x(x+13)-9(x+13)=0
(x+13)(x-9)=0
x=-13 OR x=9
the numbers are positive
9,13