SOLUTION: Solve by completing the square
Find two integers such that the first is 5 more than twice the second and the sum of their squares is 850.
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Find two integers such that the first is 5 more than twice the second and the sum of their squares is 850.
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Question 1028880: Solve by completing the square
Find two integers such that the first is 5 more than twice the second and the sum of their squares is 850. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! Find two integers such that the first is 5 more than twice the second and the sum of their squares is 850.
Find two integers such that the first is 5 more than twice the second
let second be x
First will be (2x+5)
x^2+(2x+5)^2=850
x^2+4x^2+20x+25=850
5x^2 +20x= 825
/5
x^2+4x=165
x^2+4x+4 = 165+4
(x+2)^2 = 169
square root
x+2 = +/- 13
x= 11 OR x=-15
and the sum of their squares is 850.
