Examine whether the following equation is qua | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Given equation: $9x = 3x^3$.Rearranging the terms to one side,we get: $3x^3 - 9x = 0$.$A$ quadratic equation is defined as an equation of the form

Vedclass · Accepted Answer

No,it is not a quadratic equation.

Vedclass · Answer

(B) Given equation: $9x = 3x^3$.Rearranging the terms to one side,we get: $3x^3 - 9x = 0$.$A$ quadratic equation is defined as an equation of the form $ax^2 + bx + c = 0$,where $a 
eq 0$ and the highest power (degree) of the variable is $2$.In the equation $3x^3 - 9x = 0$,the highest power of the variable $x$ is $3$.Since the degree of the polynomial is $3$,it is a cubic equation,not a quadratic equation.Therefore,$9x = 3x^3$ is not a quadratic equation.

Examine whether the following equation is quadratic or not: $9x = 3x^3$.

Similar Questions

Find the roots of the following quadratic equation by the method of completing the square: $2x^{2} - 7x + 3 = 0$.

If the following quadratic equation has two equal and real roots,then find the value of $k$: $k x^{2} - 24 x + 16 = 0$.

Solve the following quadratic equation using the method of factorization: $x^{2} + 5x - 66 = 0$.

Find two consecutive even positive integers,the sum of whose squares is $244$.

The solution set of a quadratic equation $x^{2}+5x-14=0$ is $\ldots \ldots \ldots \ldots .$

Vedclass Test Series

Exam Paper Generator

Online Exam Module