Question

if 1 root of x³+2x²+3x+k=0 is the sum of the other two roots, then k=?​

Answer 1

Answer:

I don't know answer of this question

Answer 2

Answer:

k=2

Step-by-step explanation:

Let α,β,γ are roots of x  

3

+2x  

2

+3x+k=0

Such that α=β+γ  ..(1)

Now, S  

1

​

=α+β+γ=−2  (2)

Solving (1) and (2), we get

2α=−2⇒α=−1

And substituting x=α=−1 in equation, we get

(−1)  

3

+2(−1)  

2

+3(−1)+k=0⇒k=2