If one root of the equation

Question:

If one root of the equation $3 x^{2}-10 x+3=0$ is $\frac{1}{3}$, then the other root is

(a) $\frac{-1}{3}$

(b) $\frac{1}{3}$

(c) $-3$

(d) 3

 

Solution:

(d) 3

Given:

$3 x^{2}-10 x+3=0$

One root of the equation is $\frac{1}{3}$.

Let the other root be $\alpha$.

We know that:

Product of the roots $=\frac{c}{a}$

$\Rightarrow \frac{1}{3} \times \alpha=\frac{3}{3}$

$\Rightarrow \alpha=3$

 

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