Question

if the sum of quadratic polynomial kt²+2t+3k is equal to their product find k​

Answer 1

Answer:

If the sum of the zeros of the quadratic polynomial f(t)=Kt

2

+2t+3K is equal to their product, find the value of K.

f(t)=Kt

2

+2t+3K

Let roots be α,β

α+β=−

K

2

αβ=

K

3K

According to question, α+β=αβ

∴−

K

2

=

K

3K

∴K=−

3

2

hope it helps you dear regards (Anshika) Queen123733733

Answer 2

Answer:

k = - 2/3

Step by Step explanation:

sum of zeros = -b/a

product of zeroes = c/a

a = k , b = 2 , c = 3k

given ,

sum of zeros = product of zeroes

-b/a = c/a

-2/k = 3k/k

-2/k = 3

-2/3 = k