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Question

The number of real solutions of the equation x2x+3+(910)x=0 is

A
2
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B
0
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C
1
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D
none of these
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Solution

The correct option is B 0
Let f(x)=x2x+3
D=112=11<0
So, f(x)>0 for all xR
Also, (910)x>0 for all xR
Thus, L.H.S. of the given equation is always positive.
Hence, there is no solution.

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