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