(12x-x^2)/(10x-x^2)

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Solution for (12x-x^2)/(10x-x^2) equation:


D( x )

10*x-x^2 = 0

10*x-x^2 = 0

10*x-x^2 = 0

10*x-x^2 = 0

DELTA = 10^2-(-1*0*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)-10)/(-1*2) or x = (-100^(1/2)-10)/(-1*2)

x = 0 or x = 10

x in (-oo:0) U (0:10) U (10:+oo)

(12*x-x^2)/(10*x-x^2) = 0

12*x-x^2 = 0

x*(12-x) = 0

12-x = 0 // - 12

-x = -12 // * -1

x = 12

x*(x-12) = 0

10*x-x^2 = 0

x*(10-x) = 0

10-x = 0 // - 10

-x = -10 // * -1

x = 10

x*(x-10) = 0

(x*(x-12))/(x*(x-10)) = 0

( x-12 )

x-12 = 0 // + 12

x = 12

( x )

x = 0

x in { 0}

x = 12

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