Determine the value of k for which the roots of the equation 3 kx² = 4 (kx - 1) is real and equal
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Answer:
k=3
Step-by-step explanation:
3kx²=4(kx-1)
3kx²-4(kx-1)=0
3kx²-4kx+4=0
a=3k, b=(-4k), c=4
Discriminant=0
b²-4ac=0
(-4k)²-4(3k)(4)=0
16k²-48k=0
16k(k-3)=0
k-3=0/16k
k-3=0
k=3
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