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Question

If x1x+1+1=0, then 4x equals

A
5
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B
41
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C
0
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D
114
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E
no real value
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Solution

The correct option is A 5
x1x+1+1=0
x1x+1=1
take square both side
[(x1)(x+1)]2=(1)2
apply (ab)2=a2+b22ab
(x1)+(x+1)2(x1)(x+1)=1
2x1=2x21
again take square both side
(2x1)2=(2x21)2
4x2+14x=4(x21)
4x2+14x=4x24
1+4=4x
4x=5

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