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devlian [24]
3 years ago
7

if the sum of roots of the quadratic equation x^(2)-3kx-(k+2)=0 is equal to the product of roots,find k

Mathematics
1 answer:
love history [14]3 years ago
6 0

Answer:

1/2

Step-by-step explanation:

quadratic equation is ax²+bx+c=0

Products of roots is c/a

Sum of roots is -b/a

On comparing the above equation with general equation we have

a=1

b=-(3k)

c=-(k+2)

Now it is given that sum of roots and product of roots is equal

So,

-b/a=c/a

-b=c

-[-(3k)]=-(k+2)

3k=-k-2

3k+k=-2

4k=-2

k=-1/2

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