(3/(x^2-9x+20))-(2/(x^2-8x+16))

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Solution for (3/(x^2-9x+20))-(2/(x^2-8x+16)) equation: 


D( x )

x^2-(8*x)+16 = 0

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

x^2-(8*x)+16 = 0

x^2-(8*x)+16 = 0

x^2-8*x+16 = 0

x^2-8*x+16 = 0

DELTA = (-8)^2-(1*4*16)

DELTA = 0

x = 8/(1*2)

x = 4 or x = 4

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:4) U (4:5) U (5:+oo)

3/(x^2-(9*x)+20)-(2/(x^2-(8*x)+16)) = 0

3/(x^2-9*x+20)-2*(x^2-8*x+16)^-1 = 0

3/(x^2-9*x+20)-2/(x^2-8*x+16) = 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^2-8*x+16 = 0

x^2-8*x+16 = 0

x^2-8*x+16 = 0

DELTA = (-8)^2-(1*4*16)

DELTA = 0

x = 8/(1*2)

x = 4 or x = 4

(x-4)^2 = 0

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

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

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

x-2 = 0

(x-2)/((x-4)^2*(x-5)) = 0

(x-2)/((x-4)^2*(x-5)) = 0 // * (x-4)^2*(x-5)

x-2 = 0

x-2 = 0 // + 2

x = 2

x = 2

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