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Question

Answers

(A) $2$

(B) $ - 2$

(C) $3$

(D) $ - 3$

Answer

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Here we have an equation $k{x^2} - 7x + 3 = 0$ and root of this equation is $3$

So to find the value of $k$ substitute $x = 3$ in above equation

Then, $k \times {\left( 3 \right)^2} - 7 \times 3 + 3 = 0$

From this we get

$9k - 21 + 3 = 0$

Further solving this we get

$9k - 18 = 0$

Now separate variable and constant term to find value of $k$

$9k = 18$

From here $k = \dfrac{{18}}{9}$

After solving the above equation we get $k = 2$