60/(x-4)=x

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

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

60/(x-4)-x = 0

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

60-x*(x-4) = 0

4*x-x^2+60 = 0

4*x-x^2+60 = 0

4*x-x^2+60 = 0

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

DELTA = 256

DELTA > 0

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

x = -6 or x = 10

(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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