x=60/(x-4)

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Solution for x=60/(x-4) equation:


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:+oo)

x = 60/(x-4) // - 60/(x-4)

x-(60/(x-4)) = 0

x-60*(x-4)^-1 = 0

x-60/(x-4) = 0

(x*(x-4))/(x-4)-60/(x-4) = 0

x*(x-4)-60 = 0

x^2-4*x-60 = 0

x^2-4*x-60 = 0

x^2-4*x-60 = 0

DELTA = (-4)^2-(-60*1*4)

DELTA = 256

DELTA > 0

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

x = 10 or x = -6

(x+6)*(x-10) = 0

((x+6)*(x-10))/(x-4) = 0

((x+6)*(x-10))/(x-4) = 0 // * x-4

(x+6)*(x-10) = 0

( x+6 )

x+6 = 0 // - 6

x = -6

( x-10 )

x-10 = 0 // + 10

x = 10

x in { -6, 10 }

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