If the sum of the roots of the equation 3x2-(3k-2)x-(k-6)=0
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Answer:
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=3
b=-(3k-2)
c=-k+6
Now it is given that sum of roots and product of roots is equal
So,
-b/a=c/a
-b=c
-[-(3k-2)]=-k+6
3k+2=-k+6
3k+k=6–2
4k=4
k=1
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