SOLUTION: Sum of the squares of two numbers is 100. Sum of the numbers is 2. Find the numbers.

Question 432719: Sum of the squares of two numbers is 100. Sum of the numbers is 2. Find the numbers.
Found 2 solutions by edjones, Gersid:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
x^2+y^2=100
x+y=2
y=2-x
x^2+(2-x)^2=100
x^2+4-4x+x^2=100
2x^2-4x-96=0
x^2-2x-48=0
(x-8)(x+6)=0
x=8, y=-6
.
Ed
Answer by Gersid(33) (Show Source): You can put this solution on YOUR website!
Let the two numbers be m and n.
1) "The sum of the squares of two numbers is 100."
2) "The sum of the numbers is 2." Rewrite this as and substitute for m in equation 1).
1a) Simplify.
2b)
2c) Subtract 100 from both sides.
2d) Solve by factoring.
2e)
2f)
2g) or
So, or
The two numbers are -6 and 8.

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