(x-3)/(x^2-2x-15)-((4-x)/(x^2-9x+20))

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Solution for (x-3)/(x^2-2x-15)-((4-x)/(x^2-9x+20)) equation:


D( x )

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

x^2-(9*x)+20 = 0

x^2-(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^2-(9*x)+20 = 0

x^2-(9*x)+20 = 0

x^2-9*x+20 = 0

x^2-9*x+20 = 0

DELTA = (-9)^2-(1*4*20)

DELTA = 1

DELTA > 0

x = (1^(1/2)+9)/(1*2) or x = (9-1^(1/2))/(1*2)

x = 5 or x = 4

x in (-oo:-3) U (-3:4) U (4:5) U (5:+oo)

(x-3)/(x^2-(2*x)-15)-((4-x)/(x^2-(9*x)+20)) = 0

(x-3)/(x^2-2*x-15)-((4-x)/(x^2-9*x+20)) = 0

(x-3)/(x^2-2*x-15)+(-1*(4-x))/(x^2-9*x+20) = 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^2-9*x+20 = 0

x^2-9*x+20 = 0

x^2-9*x+20 = 0

DELTA = (-9)^2-(1*4*20)

DELTA = 1

DELTA > 0

x = (1^(1/2)+9)/(1*2) or x = (9-1^(1/2))/(1*2)

x = 5 or x = 4

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

(x-3)/((x+3)*(x-5))+(-1*(4-x))/((x-4)*(x-5)) = 0

((x-3)*(x-4))/((x+3)*(x-5)*(x-4))+(-1*(4-x)*(x+3))/((x+3)*(x-5)*(x-4)) = 0

(x-3)*(x-4)-1*(4-x)*(x+3) = 0

2*x^2-8*x = 0

2*x^2-8*x = 0

2*x*(x-4) = 0

x-4 = 0 // + 4

x = 4

2*x*(x-4) = 0

(2*x*(x-4))/((x+3)*(x-5)*(x-4)) = 0

(2*x*(x-4))/((x+3)*(x-5)*(x-4)) = 0 // * (x+3)*(x-5)*(x-4)

2*x*(x-4) = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x-4 )

x-4 = 0 // + 4

x = 4

x in { 4}

x = 0

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