Question

The Sum of the squares of two consecutive even intergers is 340. Find the the Two Intergers

Answer 1

Answer:

(x)^2+(x+2)^2=340

x^2+x^2+4x+4=340

Compare like terms

2x^2+4x+4=340

Set equal to zero so you can factor

2x^2+4x-336=0

(2x+28)(x-12)=0

x=-14 and x=12

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