Find k, for which the given quadratic equation has equal roots: ( − 4)
2 +
2( − 4) + 4 = 0.
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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 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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