(x^2+x-30)/(x^2-x-20)

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Solution for (x^2+x-30)/(x^2-x-20) equation: 


D( x )

x^2-x-20 = 0

x^2-x-20 = 0

x^2-x-20 = 0

x^2-x-20 = 0

DELTA = (-1)^2-(-20*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+1)/(1*2) or x = (1-81^(1/2))/(1*2)

x = 5 or x = -4

x in (-oo:-4) U (-4:5) U (5:+oo)

(x^2+x-30)/(x^2-x-20) = 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^2-x-20 = 0

x^2-x-20 = 0

DELTA = (-1)^2-(-20*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+1)/(1*2) or x = (1-81^(1/2))/(1*2)

x = 5 or x = -4

(x+4)*(x-5) = 0

((x+6)*(x-5))/((x+4)*(x-5)) = 0

( x+6 )

x+6 = 0 // - 6

x = -6

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 5} 

x = -6

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