Question

if the sum of zeroes of polynomial p(x)=2x^2-kx+4is the same as the product of zeroes find the value of k

Answer 1

Heya !!!



P(X) = 2X² - KX + 4



Here,


A = Coefficient of X² = 2



B = Coefficient of X = -K


C = Constant term = 4



Sum of zeroes = -B/A



Sum of zeroes = K/2 ------(1)


And,


Product of zeroes = C/A


Product of zeroes = 4/2 = 2 -----(3)


According to question,




Sum of zeroes = Product of zeroes



K/2 = 2


K = 4.



★ HOPE IT WILL HELP YOU ★

Answer 2

Hello!!

Here is your answer.

Given :
2x² - kx + 4.
Comparing With ax² + bx + c, we get
a = 2, b = -k and c = 4.

Now,
Sum of zeroes = -b/a = -(-k)/2 = k/2, and product of zeroes = c/a = 4/2 = 2.

It is given that
sum of zeroes = product of zeroes

So, k/2 = 2
k = 4.

Hope You Got It