Question
The following are quadratic equations in $x?$
$\text{2x}^2+\frac{5}{2}\text{x}-\sqrt{3}=0$
$\text{2x}^2+\frac{5}{2}\text{x}-\sqrt{3}=0$
✓
Answer
$\text{2x}^2+\frac{5}{2}\text{x}-\sqrt{3}=0$
$\Rightarrow\text{4x}^2+\text{5x}-2\sqrt3=0$
Clearly, $\text{4x}^2+\text{5x}-2\sqrt3$ is a qudratic polynomial.
$\therefore\ \text{2x}^2+\frac{5}{2}\text{x}-\sqrt{3}=0$ is a quadratic equation.
$\Rightarrow\text{4x}^2+\text{5x}-2\sqrt3=0$
Clearly, $\text{4x}^2+\text{5x}-2\sqrt3$ is a qudratic polynomial.
$\therefore\ \text{2x}^2+\frac{5}{2}\text{x}-\sqrt{3}=0$ is a quadratic equation.
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