Question

The sum of the squares of two consecutive even positive integers is 15140. Find the integers.

Answer 1

Answer:

by simplifying this we get the answer

Answer 2

Consider the first number as x and the second number as x+2

Govern that

(x)^2 + (x+2)^2=15140

x2 + x2 +4x+4=15140

2x2+4x+4=15140

2x2+4x -15136=0

By using quadratic formula we can find the values 86 and-88

but given in the question as positive integers so we should take it consider only 86.

x=86

x+2=88

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