Problema Solution
The sum of the squares of two consecutive positive numbers is 20.
Answer provided by our tutors
1st: (2x)^2
2nd: (2x+2)^2
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Equation:
4x^2 + 4x^2 + 8x + 4 = 20
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8x^2 + 8x + 4 = 20
2x^2 + 2x + 1 = 5
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2x^2 + 2x -4 = 0
x^2 + x -2 = 0
(x+2)(x-1) = 0
Positive solution:
x = 1
1st: 2x = 2
2nd: 2x+2 = 4
It cannot be any other 2 numbers.