SOLUTION: the sum of the square of a positive number and the square of 4 more than the number is 250. What is the number?
Algebra.Com
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
RELATED QUESTIONS
The sum of the square of a positive number and the square of 4 more than the number is 58 (answered by ptaylor)
the sum of the square of a positive number and the square of 3 more than the number is... (answered by mananth)
The sum of the square of a positive number and the square of 3 more than the number is... (answered by Alan3354)
the sum of the square of a positive number and the square of 5 more than the number is... (answered by ReadingBoosters)
the sum of the square of a positive number and the square of 2 more than the number is... (answered by fractalier)
The sum of the square of a positive number and the square of 4 more than 106. What is the (answered by ikleyn)
The sum of the square of a positive number and the square of 3 more than the number is... (answered by macston)
The sum of a square of a positive number and the square of 3 more than a number is 45.... (answered by t0hierry,macston)
1. The sum of thrice a positive number and 4 less than the square of the number, when... (answered by josgarithmetic)