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Question

In each of the following, determine whether the given values are solutions of the given equation or not :
x+1x=16,x=56,x=43

A
x = 56 & x = 43 are not solutions.
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B
x = 56 & x = 43 are solutions.
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C
x = 56 is a solution but x = 43 not.
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D
x = 43 is a solution but x = 56 not.
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Solution

The correct option is A x = 56 & x = 43 are not solutions.
x+1x=16
6x2+6=x
6x2x+6=0
Here, a=6,b=1,c=6
x=b±b24ac2a

=(1)±(1)24(6)(6)2(6)

=1±14312

=1±143i12

x=1+143i12 and x=1143i12

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