Question

the sum if zeroes of a quadratic polynomial 3x²-kx+6 is 6. Find the value of k​

Answer 1

Answer:

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Step-by-step explanation:

the answer is correct

Answer 2

GIVEN

• Sum of zeros = 6

TO FIND

• Value of k in the quadratic polynomial 3x² - kx + 6

Step By Step Solution

We know that

$\small\boxed{ \bf{ \red{Sum\:of\: zeros=\frac{ - b}{a} }}}$

On Comparing 3x² - kx + 6 with ax² + bx + c , we get

• a = 3
• b = -k
• c = 6

Substituting the values

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf6 = \cfrac{ - ( - k)}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf6 = \cfrac{k}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \bf6 \times 3 = k \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large \: \: \blue{\boxed{\sf{ \pmb{ \: k = 18}}}}$

★ Therefore the value of k = 18

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