Question

The equation $3x^4-5x^3+3x^2-4x+5=0$ is of the type

• A. Quadratic
• B. Linear
• C. Reiprocal
• D. None of the above

Answer 1

The correct option is D None of the above

Given equation is $3x^4-5x^3+3x^2-4x+5=0$ .... $\left(i\right)$

The maximum power of $x$ in this equation is $4$, so this is $4th$ degree equation

So, $\left(i\right)$ is neither linear nor quadratic equation.

In reciprocal equation ($a{x}^4+b{x}^3+c{x}^2+dx+e=0$) the multiplication of the roots i.e ($\frac{e}{a}$) should be $1$

In the given equation $\left(i\right)$, $\frac{e}{a}=\frac{5}{3}$

So the multiplication of roots is not equal to one

Therefore, equation $\left(i\right)$ is not a reciprocal equation.

Hence, option D is correct.