SOLUTION: The sum of two numbers is 18 and the sum of their squares is 164. Find the numbers.
Algebra.Com
Question 848059: The sum of two numbers is 18 and the sum of their squares is 164. Find the numbers.
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
x+y = 18
x^2+y^2 = 164
x = (18-y)
(18-y)^2 + y^2 = 164
324 - 36y + y^2 + y^2 =164
324 - 36y + 2y^2 = 164
2y^2 -36y + 160
2(y^2 -18y + 80)
(y-10)(y-8)
If y = 8
x+8 = 18
x = 10
If y= 10
x+10 = 18
x= 8
^ that seemed redundant, but it's entirely possible we could have had more than one pair of solutions.
Anyway, this means the numbers are 8 and 10.
RELATED QUESTIONS
Hello, I have two questions:
1. The sum of two numbers is 18 and the sum of their... (answered by longjonsilver)
find two consecutive positive even numbers such that the sum of their squares is 164. (answered by Alan3354)
The difference of 2 numbers is 18. The sum of the squares of the numbers is 164. Find... (answered by edjones)
TWO CONSECUTIVE POSITIVE EVEN INTEGERS ARE SUCH THE SUM OF THEIR SQUARES IS 164. FIND... (answered by mananth)
The sum of two numbers is 18. If the sum of their squares is a minimum find the... (answered by solver91311)
two numbers differ by 7 and the sum of their squares is 29. find the numbers (answered by JBarnum,Stitch)
the sum of two numbers is thirteen,and the sum of their squares is 89.find the two... (answered by checkley77)
The sum of two numbers is 22 and the sum of their squares is 250 find the two... (answered by mananth)
The sum of two numbers is 11, and the sum of their squares is 65. Find the two... (answered by Alan3354)