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Question

The solution(s) of the equation (3|x|3)2=|x|+7 which belong to the domain of x(x3) is/are

A
2
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B
2
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C
19
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D
19
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Solution

The correct option is D 19
x(x3)
For the square root to be defined,
x(x3)0x(,0][3,)(1)
Now, given quadratic equation
(3|x|3)2=|x|+79(|x|22|x|+1)=|x|+79|x|219|x|+2=0(|x|2)(9|x|1)=0|x|=2,19x=±2,±19
From equation (1),
x=2,19

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