MathematicsThe value of k for which 3 is a root of the equation kx2 – 7x + 3 = 0 is?

The value of k for which 3 is a root of the equation k $x^{2}$ - 7 $x$ + 3 = 0 is?

Given, equation k

x^{2}

- 7

x

+ 3 = 0
And 3 is a root of the equation

\Rightarrow

x

= 3
Lets substitute the value of

x

in the given equation,
k

x^{2}

- 7

x

+ 3 = 0

\Rightarrow

k ✕

3^{2}

- 7 ✕ 3 + 3 = 0

\Rightarrow

9k - 21 + 3 = 0

\Rightarrow

9k = 18

\Rightarrow

k =

\frac{18}{9}

∴

k = 2.

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