An algebra problem by A Former Brilliant Member

Algebra Level 1

Given that x = 1 x=1 and y = 1 y=1 and d x ≠ 0 dx \neq 0 , find ( d ) x ( d ) y \dfrac{(d)x}{(d)y} .

Note : Calculus is not needed here.


The answer is 1.

A Former Brilliant Member by A Former Brilliant Member

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2 solutions

Joe Mansley
Aug 30, 2016

The ds cancel and you are left with 1/1=1 (assuming d is non-zero).

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What if d=0?

Prince Loomba - 4 years, 9 months ago

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Good point. Then it's indeterminate.

Joe Mansley - 4 years, 9 months ago

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Yes thats why I wrote.

Prince Loomba - 4 years, 9 months ago

Mention that d is non zero

Prince Loomba - 4 years, 9 months ago

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@Prince Loomba – I've edited the solution.

Joe Mansley - 4 years, 9 months ago

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@Joe Mansley – Shall I post report?

Prince Loomba - 4 years, 9 months ago
Prince Loomba
Sep 4, 2016

d cancel out. Direct substitute a and b to get answer as 1. Assume d is not 0 otherwise it is indeterminate.

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