Question

.If the zeroes of the polynomial 2x²+3(k-2)x+k+4 are equal in magnitude but opposite in sign, then the value of k is​

Answer 1

Answer:

3

Step-by-step explanation:

Let the zeroes of the polynomial be a and b

a=-b

and -(3k-6)=a+b

-3k+6=0

3k=6

k=3

Answer 2

Answer:

Given equation is 2x  

2

+3(λ−2)x+λ+4=0

We know that equation ax  

2

+bx+c=0

Then sum of roots =  

a

−b

​  

 

Let α, β be the roots of the given equation

∴α+β=−  

2

3(λ−2)

​  

 

But it is given that

α=−β

Therefore, α+β=0

Hence, λ−2=0

∴λ=2