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Question

If 2(x2+1x2)9(x+1x)+14=0 then x = ____________

A
12
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B
1
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C
2
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D
All of these
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Solution

The correct option is D All of these
Given: 2(x2+1x2)9(x+1x)+14=0

2[(x+1x)22×x×1x]9(x+1x)+14=0

2(x+1x)249(x+1x)+14=0

2(x+1x)29(x+1x)+10=0

2(x+1x)25(x+1x)4(x+1x)+10=0

[2(x+1x)5][(x+1x)2]=0

2(x+1x)5=0 or x+1x2=0
x+1x=52 x+1x=2

x2+1x=52 x2+1x=2

2x25x+2=0 x22x+1=0
2x24xx+2=0 (x1)2=0
2x(x2)1(x2)=0 x1=0
(x2)(2x1)=0 x=1

x=2,12

x=2,1,12



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