A Proportion Question

Algebra Level 2

Let's assume we can find a , b , c , d a, b, c, d satisfying the expression below: [ a b ( a b − 2 c d ) + c 2 d 2 ] [ a b ( a b − 2 ) + 2 ( a b + 1 ) ] = 0 [ab(ab-2cd)+c^{2}d^{2}][ab(ab-2)+2(ab+1)]=0

Can we make a proportion from just a , b , c , d a, b, c, d ?

Bonus: Prove the correct answer.

This is a paradox. Yes It depends No

Tin Le by Tin Le , 15, Vietnam

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