find the value of k for which the quadratic equation is Km(m-2)+6=0 has equal roots
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Answered by
15
km(m-2) +6 = 0
=> km^2 -2k m + 6 = 0
On comparing given equation with general equation we get ,
a = k
b = -2k
c = 6
For equal roots ,
Discriminant = 0
=> b^2 -4ac = 0
=> ( -2k)^2 -4 ( k)(6) = 0
=> 4 k^2 - 24k = 0
=> 4k^2 = 24k
=> 4k = 24
=> k = 6
=> km^2 -2k m + 6 = 0
On comparing given equation with general equation we get ,
a = k
b = -2k
c = 6
For equal roots ,
Discriminant = 0
=> b^2 -4ac = 0
=> ( -2k)^2 -4 ( k)(6) = 0
=> 4 k^2 - 24k = 0
=> 4k^2 = 24k
=> 4k = 24
=> k = 6
Answered by
2
Answer:
k=6
hv a nc d.................
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