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Question

value of x satisfying the equality |x2+8x+7|=|x2+4x+4|+|4x+3| for xR are

A
(2,)
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B
(34,){2}
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C
[34,){2}
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D
(43,)
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Solution

The correct option is C (2,)
As we know
|a|+|b|=|a+b|
ab0

(x2+4x+4)(4x+3)0

(x+2)2(4x+3)0

x[34,){2}


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