x=(2x+15)/x

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Solution for x=(2x+15)/x equation:


D( x )

x = 0

x = 0

x = 0

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

x = (2*x+15)/x // - (2*x+15)/x

x-((2*x+15)/x) = 0

(-1*(2*x+15))/x+x = 0

(-1*(2*x+15))/x+(x^2)/x = 0

x^2-1*(2*x+15) = 0

x^2-2*x-15 = 0

x^2-2*x-15 = 0

x^2-2*x-15 = 0

DELTA = (-2)^2-(-15*1*4)

DELTA = 64

DELTA > 0

x = (64^(1/2)+2)/(1*2) or x = (2-64^(1/2))/(1*2)

x = 5 or x = -3

(x+3)*(x-5) = 0

((x+3)*(x-5))/x = 0

((x+3)*(x-5))/x = 0 // * x

(x+3)*(x-5) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-5 )

x-5 = 0 // + 5

x = 5

x in { -3, 5 }

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