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September 5th, 2019, 10:26 AM   #1
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3 variable equations

Solve for positive integers : $\displaystyle x+y+z=xyz$ .
Method required !
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September 5th, 2019, 12:18 PM   #2
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Wait, did my post not post? Grrr.

Let x <= y <= z.
x+y+z<=3z, thus xy<=3, thus x<=sqrt(3), thus x=1.
1+1+z=z doesn't work, so y=2 or y=3.

Yada yada, something about the Jackson 5, and there's your answer!

(Engineering method: Had MATLAB probe [1,100]^3, found 6 answers. Bada bing, bada boom!)
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