Which of the following are quadratic equations?

$x^2\ -\ 2x\ -\ \sqrt{x}\ -\ 5\ =\ 0$

Given:

Given quadratic equation is $x^2\ -\ 2x\ -\ \sqrt{x}\ -\ 5\ =\ 0$.

To do:

We have to check whether the given equation is quadratic.

Solution:

The standard form of a quadratic equation is $ax^2+bx+c=0$.

$x^2\ -\ 2x\ -\ \sqrt{x}\ -\ 5\ =\ 0$

The equation $x^2\ -\ 2x\ -\ \sqrt{x}\ -\ 5\ =\ 0$ is not of the form $ax^2+bx+c=0$ as the power of $\sqrt{x}$ is not an integer.

Therefore, $x^2\ -\ 2x\ -\ \sqrt{x}\ -\ 5\ =\ 0$ is not a quadratic equation.

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Updated on: 10-Oct-2022

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