Question

4. If the sum of the zeroes of the quadratic polynomial f(t) = kt² + 4t + 7k is equal to their product, then find the value of k.​

Answer 1

Answer:

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