find the value of k if the quadratic equation 3 x square - 3kx + 4 is equal to zero has equal roots
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Given Quadratic equation
3x²-3kx+4=0
Compare this with ax²+bx+c=0
we get,
a=3,b=-3k,c=4
Now ,
Discreminant (D)=0
[Since , roots equal ]
b²-4ac=0
=>(-3k)²-4×3×4=0
=> 9k²-48=0
=> 9k²=48
=> k²=48/9
=> k²= 16/3
=> k = ±√(16/3)
=> k = ± 4/√3
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