The sum of the squares of two consecutive even numbers is 164. What are the numbers?
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Let the number be x.
Therefore, second number = (x+2)
x^2 + (x+2)^2 = 164
x^2 + x^2 + 4 + 4x = 164
2x^2 + 4x + 4 = 164
x^2 + 2x + 2 = 164/2
x^2 + 2x + 2 = 82
x^2 + 2x = 82 - 2 = 80
x(x+2) = 80
Therefore, x = 8,10
Step-by-step explanation:
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