180/x+16x=144

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Solution for 180/x+16x=144 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

16*x+180/x = 144 // - 144

16*x+180/x-144 = 0

16*x^1+180*x^-1-144*x^0 = 0

(16*x^2-144*x^1+180*x^0)/(x^1) = 0 // * x^2

x^1*(16*x^2-144*x^1+180*x^0) = 0

x^1

16*x^2-144*x+180 = 0

16*x^2-144*x+180 = 0

DELTA = (-144)^2-(4*16*180)

DELTA = 9216

DELTA > 0

x = (9216^(1/2)+144)/(2*16) or x = (144-9216^(1/2))/(2*16)

x = 15/2 or x = 3/2

x in { 3/2, 15/2} 

x in { 3/2, 15/2 }

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