Question
The following are quadratic equations in $x$?
$\text{x}-\frac{6}{\text{x}}=3$
$\text{x}-\frac{6}{\text{x}}=3$
✓
Answer
$\text{x}-\frac{6}{\text{x}}=3$
$\Rightarrow x^2- 6 = 3x$
$\Rightarrow x^2 - 3x - 6 = 0$
And $(x^2- 3x - 6)$ Being a polynomial of degree $2$, it is a quadratic polynomial.
Hence $\text{x}-\frac{6}{\text{x}}=3$ is a quadratic equation.
$\Rightarrow x^2- 6 = 3x$
$\Rightarrow x^2 - 3x - 6 = 0$
And $(x^2- 3x - 6)$ Being a polynomial of degree $2$, it is a quadratic polynomial.
Hence $\text{x}-\frac{6}{\text{x}}=3$ is a quadratic equation.
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