SOLUTION: The difference of two numbers is 2 and the sum of thier squares is 52
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Question 475588
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The difference of two numbers is 2 and the sum of thier squares is 52
Answer by
edjones(8007)
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x-y=2
x^2+y^2=52
.
x=y+2
(y+2)^2+y^2=52
y^2+4y+4+y^2=52
2y^2+4y-48=0
y^2+2y-24=0
(y+6)(y-4)=0
y=-6, x=-4
or y=4, x=6
.
Ed