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Question

Find the non-negative root of (3x12x+3)25(3x12x+3)+4=0


A

2

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B

5

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C

4

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D

3

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Solution

The correct option is C

4


Let 3x12x+3=y

The equation reduces to:

y25y+4=0

(y1)(y4)=0
y=1,4

Now, 3x12x+3=1
3x1=2x+3
x=4

and 3x12x+3=4
3x1=8x+12
x=135


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