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Question

If ∣ ∣x2323x3x2∣ ∣=∣ ∣1x4x4141x∣ ∣=∣ ∣05x5x0x05∣ ∣=0, then the value of x equals (xϵR):

A
0
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B
5
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C
-5
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D
none of these
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Solution

The correct option is C -5
∣ ∣x2323x3x2∣ ∣=∣ ∣1x4x4141x∣ ∣=∣ ∣05x5x0x05∣ ∣=0
Consider, ∣ ∣x2323x3x2∣ ∣=0
x318x+35=0
(x+5)(x25x+7)=0
Consider ∣ ∣1x4x4141x∣ ∣=0
x312x+65=0
(x+5)(x25x+13)=0
Consider ∣ ∣05x5x0x05∣ ∣=0
x3=125
x=5
Hence, x=5 is the solution

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