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Question

If x0, ∣ ∣x+12x+13x+12x4x+36x+34x+46x+48x+4∣ ∣=0, then x+1 is equal to

A
x
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B
0
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C
2x
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D
3x
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Solution

The correct option is B 0
Given ∣ ∣x+12x+13x+12x4x+36x+34x+46x+48x+4∣ ∣=0

2∣ ∣x+12x+13x+12x4x+36x+32x+23x+24x+2∣ ∣=0

[using R12R1R3]
2∣ ∣0x2x2x4x+36x+32x+23x+24x+2∣ ∣=0

2∣ ∣0x02x4x+32x32x+23x+22x2∣ ∣=0 [using C3C32C2]

4x[2x2+2x(2x+3)(x+1)]=0
4x[2x2+2x(2x2+2x+3x+3)]=0
4x(3x+3)=0
x+1=0 [x0,given]

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