4x-10/x=8

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Solution for 4x-10/x=8 equation: 


D( x )

x = 0

x = 0

x = 0

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

4*x-(10/x) = 8 // - 8

4*x-(10/x)-8 = 0

4*x-10*x^-1-8 = 0

4*x^1-10*x^-1-8*x^0 = 0

(4*x^2-8*x^1-10*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-8*x^1-10*x^0) = 0

x^1

4*x^2-8*x-10 = 0

4*x^2-8*x-10 = 0

DELTA = (-8)^2-(-10*4*4)

DELTA = 224

DELTA > 0

x = (224^(1/2)+8)/(2*4) or x = (8-224^(1/2))/(2*4)

x = (4*14^(1/2)+8)/8 or x = (8-4*14^(1/2))/8

x in { (8-4*14^(1/2))/8, (4*14^(1/2)+8)/8} 

x in { (8-4*14^(1/2))/8, (4*14^(1/2)+8)/8 }

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