Question

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

Answer 1

Answer:

sum of the zeroes=3

but sum of the zeroes =-b/a

-b/a=3

K/3=3

K=9

Answer 2

Answer :

• k = 9

Explanation :

Given polynomial,

⇒ 3x² - kx + 6

On comparing with general form ax² + bx + c

• a = 3
• b = -k
• c = 6

Sum of zeroes,

⇒ α + β = -b/a = -(-k)/3 = k/3

But, given sum of zeroes is 3.

According to the question,

⇒ k/3 = 6

⇒ k = 3*3

⇒ k = 9

∴ The value of ‘k’ is 9