SOLUTION: The sum of two numbers is 17 and the sum of their square is 145. Find the larger #? Answers a) 10, b) 11, c) 8, d) 9, e) None

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The sum of two numbers is 17 and the sum of their square is 145. Find the larger #? Answers a) 10, b) 11, c) 8, d) 9, e) None      Log On

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Question 475565: The sum of two numbers is 17 and the sum of their square is 145. Find the larger #?
Answers a) 10, b) 11, c) 8, d) 9, e) None
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x+y =17
x=17-y
x^2+y^2=145
(17-y)^2+y^2=145
289-34y+y^2+y^2=145
2y^2-34y+289-145=0
2y^2-34y+144=0
/2
y^2-17y+72=0
y^2-9y-8y+72=0
y(y-9)-8(y-9)=0
(y-9)(y-8)=0
y=9