x-10/(x-3)=0

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Solution for x-10/(x-3)=0 equation:


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:+oo)

x-(10/(x-3)) = 0

x-10*(x-3)^-1 = 0

x-10/(x-3) = 0

(x*(x-3))/(x-3)-10/(x-3) = 0

x*(x-3)-10 = 0

x^2-3*x-10 = 0

x^2-3*x-10 = 0

x^2-3*x-10 = 0

DELTA = (-3)^2-(-10*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(1*2) or x = (3-49^(1/2))/(1*2)

x = 5 or x = -2

(x+2)*(x-5) = 0

((x+2)*(x-5))/(x-3) = 0

((x+2)*(x-5))/(x-3) = 0 // * x-3

(x+2)*(x-5) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-5 )

x-5 = 0 // + 5

x = 5

x in { -2, 5 }

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