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Question

Number of real solutions of the equation |x−3|3x2−10x+3=1 is

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is C 3
|x3|3x210x+3=1
case-1, |x3|=1
x3=1 or x3=1
x=2 or x=4

case-2, 3x210x+3=0
3x29xx+3=0
3x(x3)1(x3)=0
(3x1)(x3)=0
x=3,13
but x3 as 00 is not defined
Hence, x=13,2,4
Only three solutions are there

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