product of roots of equation(x2=-1)is.....................
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x
2
−3kx+2e
logk
−1=0
a=1,b=−3k and c=2e
logk
−1
Product of roots given
a
c
=7
⇒
a
c
=7=
1
2e
logk
−1
⇒7+1=2e
log
e
k
(e
log
e
a
=a
log
e
e
=a)
⇒4=k
D=144−4(7)=116 is not a perfect square.
⇒ Roots are irrational number
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