Question

If the sum of the zeroes of the quadratic polynomial f(x)=kt² + 2t+3k is equal to their product find the value of k

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Answer 1

Step-by-step explanation:

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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