Question

Is the following equation a quadratic equation?

$3x+\frac{1}{x}-8=0$

• A. Yes
• B. No
• C. Ambiguous
• D. Data insufficient

Answer 1

Answer: (A)

Yes

Given, $3x+\frac{1}{x}-8=0$
$\Rightarrow \frac{3x^2+1-8x}{x}=0$
$\Rightarrow 3x^2+1-8x=0$
Comparing it with the standard form of quadratic equation $x^2+bx+c=0,a\ne 0$
Here, $a=3$
Thus, it is a quadratic equation.