2x-30/x=4

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Solution for 2x-30/x=4 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(30/x) = 4 // - 4

2*x-(30/x)-4 = 0

2*x-30*x^-1-4 = 0

2*x^1-30*x^-1-4*x^0 = 0

(2*x^2-4*x^1-30*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-4*x^1-30*x^0) = 0

x^1

2*x^2-4*x-30 = 0

2*x^2-4*x-30 = 0

DELTA = (-4)^2-(-30*2*4)

DELTA = 256

DELTA > 0

x = (256^(1/2)+4)/(2*2) or x = (4-256^(1/2))/(2*2)

x = 5 or x = -3

x in { -3, 5} 

x in { -3, 5 }

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