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Question

The sum of integral value(s) of x satisfying the equation |x+9||x5|=8 is


Solution

|x+9||x5|=8
x+9x5=8
(|a||b|=ab)
x+9x5=±8

Case 1:
x+9x5=8
x+9=8(x5)
7x=49
x=7

Case 2:
x+9x5=8
x+9=8(x5)
9x=31
x=319

Hence, the sum of all integral value of x is 7.

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