Question

If the sum of zeroes of the quadratic polynomial 3x2 - kx + 6 is 3, then find
the value of k.​

Answer 1

Answer:

hope it helps you properly mate

Answer 2

SOLUTION

GIVEN

The sum of zeroes of the quadratic polynomial 3x² - kx + 6 is 3

TO DETERMINE

The value of k

FORMULA TO BE IMPLEMENTED

If $\alpha \: \: and \: \: \beta \:$are the zeroes of the quadratic polynomial $a {x}^{2} + bx + c$

Then

$\displaystyle \: \alpha + \beta \: = - \frac{b}{a} \: \: and \: \: \: \alpha \beta \: = \frac{c}{a}$

EVALUATION

Here the given Quadratic polynomial is

3x² - kx + 6

Comparing with ax² + bx + c we get

a = 3 , b = - k , c = 6

So the sum of the zeroes

$= \displaystyle \sf{ - \frac{ - k}{3} }$

$= \displaystyle \sf{ \frac{k}{3} }$

So by the given condition

$\displaystyle \sf{ \frac{k}{3} = 3}$

$\displaystyle \sf{ \implies k = 9}$

FINAL ANSWER

The required value of k = 9

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