Question 55

If $$x + \frac{4}{x} - 4 = 0$$, then the value of $$x^2 - 4$$ is equal to:

Solution

Given, $$x+\frac{4}{x}-4=0$$

$$\Rightarrow$$ $$x^2+4-4x=0$$

$$\Rightarrow$$ $$\left(x-2\right)^2=0$$

$$\Rightarrow$$ $$x-2=0$$

$$\Rightarrow$$ $$x=2$$

$$\therefore\ $$ $$x^2-4=2^2-4=4-4=0$$

Hence, the correct answer is Option A

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