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Question

The number of roots of the equation (x+2)(x5)(x3)(x+6)=x2x+4 is


A

0

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B

1

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C

2

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D

3

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Solution

The correct option is B

1


(x+2)(x5)(x3)(x+6)=x2x+4(x23x10)(x+4)=(x2+3x18)(x2)x222x40=x224x+362x=76x=38Hence, the equation has only 1 root.


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