(x^2-12x+35)/(x^2+x-30)

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Solution for (x^2-12x+35)/(x^2+x-30) equation: 


D( x )

x^2+x-30 = 0

x^2+x-30 = 0

x^2+x-30 = 0

x^2+x-30 = 0

DELTA = 1^2-(-30*1*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-1)/(1*2) or x = (-121^(1/2)-1)/(1*2)

x = 5 or x = -6

x in (-oo:-6) U (-6:5) U (5:+oo)

(x^2-(12*x)+35)/(x^2+x-30) = 0

(x^2-12*x+35)/(x^2+x-30) = 0

x^2-12*x+35 = 0

x^2-12*x+35 = 0

DELTA = (-12)^2-(1*4*35)

DELTA = 4

DELTA > 0

x = (4^(1/2)+12)/(1*2) or x = (12-4^(1/2))/(1*2)

x = 7 or x = 5

(x-5)*(x-7) = 0

x^2+x-30 = 0

x^2+x-30 = 0

DELTA = 1^2-(-30*1*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-1)/(1*2) or x = (-121^(1/2)-1)/(1*2)

x = 5 or x = -6

(x+6)*(x-5) = 0

((x-5)*(x-7))/((x+6)*(x-5)) = 0

( x-5 )

x-5 = 0 // + 5

x = 5

( x-7 )

x-7 = 0 // + 7

x = 7

x in { 5} 

x = 7

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