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Maths-

General

Easy

Question

$x plus 1 equals fraction numerator 2 over denominator x plus 1 end fraction$
In the equation above, which of the following is a possible value of x + 1 ?

1 - $\sqrt{2}$
$\sqrt{2}$
2
4

hint Hint:

We do simple algebraic manipulation and get the solution.

The correct answer is: $square root of 2$

Step 1 of 1:
Given equation, $x plus 1 equals fraction numerator 2 over denominator x plus 1 end fraction$
$not stretchy rightwards double arrow left parenthesis x plus 1 right parenthesis squared equals 2$
$not stretchy rightwards double arrow left parenthesis x plus 1 right parenthesis equals plus-or-minus square root of 2$
Since there is no option available for $negative square root of 2$ , we consider only $square root of 2$ .
Final Answer:
The possible value x+1 is— B) $square root of 2$ .

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