The equation whose roots are the reciprocals | vedclass

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(B) Given equation is $3x^2 - 20x + 17 = 0$. To find the equation whose roots are the reciprocals of the roots of the given equation,we replace $x$ wi

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$17x^2 - 20x + 3 = 0$

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(B) Given equation is $3x^2 - 20x + 17 = 0$. To find the equation whose roots are the reciprocals of the roots of the given equation,we replace $x$ with $\frac{1}{x}$. Substituting $\frac{1}{x}$ for $x$ in the original equation: $3(\frac{1}{x})^2 - 20(\frac{1}{x}) + 17 = 0$ $\frac{3}{x^2} - \frac{20}{x} + 17 = 0$ Multiplying the entire equation by $x^2$: $3 - 20x + 17x^2 = 0$ Rearranging the terms,we get: $17x^2 - 20x + 3 = 0$. Thus,the correct option is $B$.

The equation whose roots are the reciprocals of the roots of the equation $3x^2 - 20x + 17 = 0$ is

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