hi guys how to do this??

[olive crow]

,rotate

[olive crow]

try multiplying the left and right side by ab

[main nest]

Ok tyyyy👍👍

[hallow monolith]

b/ab+a/ab+1/ab=1, a+b+1=ab

b+1=a(b-1) , a=(b+1)/(b-1) , b=(a+1)/(a-1)

[silent wadi]

To find the solution you can restrict the values of a and b.

i) $b > 1$ : proof by contradiction: With $b=1$ follows $$1/a+1/b+1/ab=1/a+1+1/a = 1+ 2/a > 1$$

ii) $b < 3$: With $b >= 3$ and $a > b$ follows $$1/a + 1/b + 1/ab < 1/b+1/b+1/b² <= 2/3+1/9 =7/9 < 1$$

i),ii) $\Rightarrow b=2$ and $a=(b+1)/(b-1)=(2+1)/(2-1)=3$. So $ab=2\times 3=6.$

[ember gazelle]

Pfötchen

[plucky crypt]

$$a+b+1=ab$$ $$ab-a-b+1=2$$ $$(a-1)(b-1)=2$$

[ember gazelle]

Civil Service Pigeon

[plucky crypt]

[plucky crypt]

I pretty sure that’s what they were going for here

[olive crow]

yep

[main nest]

thanks

[main nest]

thanks！

[nocturne dove]

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[main nest]

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