What isn't x?

Algebra Level 1

What is the difference between these two:

y = 1 and y = x x ? y = 1 \text{ and } y =\frac{x}{x}?

There is no answer at x = 1 x = 1 There is no answer at x = 1 x=-1 There is no answer at x = 0 , 1 , 1 x=0, 1, -1 There is no answer at x = 0 x = 0

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4 solutions

Rimson Junio
Sep 1, 2015

The second equation has a removable discontinuity at x = 0 x=0 while the first one is continuous.

Exactly. There is no answer at x = 0. Otherwise, both are equivalent at all other points.

Stephen Halby - 5 years, 9 months ago

but x divided by x equal to 1 how it is zero

Abdullah Zubair - 5 years, 7 months ago
Ashish Menon
Mar 25, 2016

0 0 = 1 \dfrac {0}{0} = 1 is a common misconception.

Shravan Kumar
Sep 7, 2015

If x=0 the result is undefined.

So there's no result at x=0

Biswajit Barik
Dec 31, 2016

You can simply know that if we use0then the expression become infinity

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