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Question

The number of roots of the equation x2(x24x+3)=0 is/are:

A
three
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B
four
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C
one
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D
two
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Solution

The correct option is C two
From the above expression, we getx2=0 Or x24x+3=0
x2=0 gives x=2
And x24x+3=0(x2)24+3=0(x2)2=1(x2)=±1x=3 or x=1
However x=1 is not applicable since domain of x2 is x>2
The roots are therefore 2 and 3.
Hence, the number of roots will be 2.

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