Question

If the sum of the zeroes of the quadratic polynomial 3x2-kx+6 is 3, then findthe value of k.
(Please write in paper and send answer) ​

Answer 1

Given,

• The sum of zeroes (α + β) = 3
• Quadratic polynomial, 3x² - kx + 6

To Find,

• The value of k.

According to question,

Given, Quadratic polynomial, 3x² - kx + 6.

On comparing with, ax² + bx + c, We get ;

⟶ a = 3 , b = k, c = 6

★ Sum of roots,

⟶ α + β = -b/a

[ Put the values ]

⟶ 3 = -(-k)/3

⟶ 3 = k/3

⟶ k = 3 × 3

⟶ k = 9

Therefore,

The value of k is 9.

Answer 2

Step-by-step explanation:

let zeros of given polynomial be x and y

sum of zeros=3=(x+y)=3

x+y=-b/a=- coefficient of x/coefficient of x^2

3=-(-k/3)

= 3= k/3

=k=3×3

=k=9