Question

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?? Just don't tell me the answer, but can you mention the steps??

Answer 1

Answer:

Golconda was originally known as Mankal. Golconda Fort was first built by the Kakatiyas as part of their western defenses along the lines of the Kondapalli Fort. The city and the fortress were built on a granite hill that is 120 meters (390 ft) high, surrounded by massive battlementsGolconda was originally known as Mankal. Golconda Fort was first built by the Kakatiyas as part of their western defenses along the lines of the Kondapalli Fort. The city and the fortress were built on a granite hill that is 120 meters (390 ft) high, surrounded by massive battlements

Answer 2

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