Is the answer 2 ?

Algebra Level 2

what is the value of $x$ that satisfies -

$x + \sqrt{\frac{x^{2} - 4}{x-2}} = 2 + \sqrt{\frac{x^{2} - 4}{x-2}}$ ??

Note: This is not a original problem. I adopted this from a similar problem.

1 2 3 none of these

1 solution

Anchal Shukla
Aug 30, 2014

when we simplify we get x=2 but then by substituting we get 0 as denominator which is not defined therefore it has no solution

such a bad solution.

Rohit Kumar - 6 years, 8 months ago

lol, yeah i mean by observing the equation we can see that the answer cant be 2 because that would lead to us to divide a certain quantity with cero, so another approach could be to bash every answer into the equation, and in that way we could see that there is no viable solution in the options posted.

Jesus Ulises Avelar - 6 years, 3 months ago

But , if we simplify $[x^{2}-4]/[x-2]$ we get $x+2$ In that condition if we substitute the value of 2 in the Equation we get the answer as 2

Ayush Sharma - 6 years, 1 month ago

But that's the limiting value of that function. Limiting value is obviously not equal to the actual value of the function

Raushan Sharma - 5 years, 8 months ago

because its limits at x=2................

Abhisek Mohanty - 6 years ago

Is the answer 2 ?

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