State whether $5 x^{3} - 2 x - 3 = 0$ is a quadratic equation.

Open in App

Solution

Step 1: Definition of a quadratic equation
The standard form of a quadratic equation is $a x^{2} + b x + c = 0$ .
For a given equation to be a quadratic equation, $a \neq 0$ and the highest power of the variable in the equation should be $2$ .
Step 2: To check whether the equation is a quadratic equation
The given equation is $5 x^{3} - 2 x - 3 = 0$ .
On comparing the given equation with the standard form $a x^{2} + b x + c = 0$ , we can see that $a = 0$ and the highest power of the variable $x$ is $3$ .
Hence, the equation $5 x^{3} - 2 x - 3 = 0$ is not a quadratic equation.

Suggest Corrections

Similar questions

State whether ${(x - 2)}^{2} + 1 = 2 x - 3$ is a quadratic equation.

State whether $18 x^{2} - 6 x = 0$ is a quadratic equation.

(x - 2)^{2} + 1 = 2 x - 3

State whether $(x + 1) (x + 3) = 0$ is a quadratic equation.

(x - \sqrt{2})^{2} - 2 (x + 1) = 0 b) \sqrt{2} x^{2} - \frac{3}{\sqrt{2}} x + \frac{1}{\sqrt{2}} = 0

Join BYJU'S Learning Program