SOLUTION: Find 2 consecutive even integers such that the sum of their squares is 244.
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Question 232932
:
Find 2 consecutive even integers such that the sum of their squares is 244.
Answer by
edjones(8007)
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Let the integers be x & x+2.
x^2+(x+2)^2=244
x^2+x^2+4x+4=244
2x^2+4x-240=0
x^2+2x-120=0
(x+12)(x-10)=0
x=10, x=-12
The integers are 10 & 12 or -10 & -12.
.
Ed