Question 270399
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Use the definition of absolute value.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ |x|\ =\ \left\{\ \ x\text{ if }x\ \geq\ 0\cr-x\text{ if }x\ <\ \,0\right]


So if


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ |x|\ =\ 9]


Then *[tex \Large x] is either greater than zero, in which case *[tex \Large x\ =\ 9] or *[tex \Large x] is less than zero, in which case *[tex \Large x\ =\ -9]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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