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Question

The sum of the solutions of the equation |x2|+x(x4)+2=0, (x>0) is equal to:

A
9
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B
10
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C
12
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D
4
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Solution

The correct option is B 10
Case 1: When x2
x2+x4x+2=0x3x=0x=0,x=9
As, x2x=9

Case 2: When x<2
2x+x4x+2=0x5x+4=0(x4)(x1)=0x=1,16
As, x<2x=1

Hence, sum =9+1=10

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