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Reciprocal equations - class-X
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The equation $3x^4-5x^3+3x^2-4x+5=0$ is of the type
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A
None of the above
💡 Explanation:
Given equation is $3x^4-5x^3+3x^2-4x+5=0$ .... $(i)$
The maximum power of $x$ in this equation is $ 4$, so this is $4th$ degree equation
So, $(i)$ is neither linear nor quadratic equation.
In reciprocal equation ($ ax^4 +bx^3 +cx^2 +dx +e = 0 $) the multiplication of the roots i.e ($\dfrac{e}{a}$) should be $1$
In the given equation $(i)$, $\dfrac{e}{a} = \dfrac{5}{3}$
So the multiplication of roots is not equal to one
Therefore, equation $(i)$ is not a reciprocal equation.
Hence, option D is correct.