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Number Theory Level 3

2 ( x + y + z ) + 10 = 3 x y z \large 2(x + y + z) + 10 = 3xyz

x > y > z x > y > z are three positive integers that sastify the above equation.

Calculate y 2 − z x y^2 - zx .

This is part of the series: " It's easy, believe me! "


The answer is 0.

Thành Đạt Lê by Thành Đạt Lê , 17, Singapore

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1 solution

Y T
Sep 12, 2017

What about x = 14, y = z = 1? It also satisfies the equation yet y²-xz = -13.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I fixed the problem.

Thành Đạt Lê - 3 years, 9 months ago

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