What is an absolute value equation that has the solutions #X=8 and X= 18#?

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Answer 1 · 2017-09-14T10:29:56

#abs(x^2 - 26x) + 144#

#or#

#abs(x^2 - 26x) = - 144#

To get the main equation of those roots, follow the method below;

#x = 8 and x = 18#

#x - 8 = 0 and x - 18 = 0#

#(x - 8) (x - 18) = 0#

#x(x - 18) - 8(x - 18)#

#x^2 - 18x - 8x + 144#

#x^2 - 26x + 144 -> "Quadratic Equation"#

Absolute value equation should be either;

#abs(x^2 - 26x) + 144#

#or#

#abs(x^2 - 26x) = - 144#

Hope this helps!