The value of k for equal roots in -4x +2 = 0
a) 2 b) – 2 c) 4 d) – 4
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Answer:
Given: Quadratic equation 4x
2
+4
3
x+k=0, has equal roots
An equation has equal roots if the discriminant, D=b
2
−4ac=0
In the given equation, a=4,b=4
3
,c=k
Therefore the discriminant is (4
3
)
2
−4(4)(k)=0
48−16k=0
⟹16k=48
Therefore, k=3
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