(x^2+3x-5)/(x^2-8x+15)

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Solution for (x^2+3x-5)/(x^2-8x+15) equation: 


D( x )

x^2-(8*x)+15 = 0

x^2-(8*x)+15 = 0

x^2-(8*x)+15 = 0

x^2-8*x+15 = 0

x^2-8*x+15 = 0

DELTA = (-8)^2-(1*4*15)

DELTA = 4

DELTA > 0

x = (4^(1/2)+8)/(1*2) or x = (8-4^(1/2))/(1*2)

x = 5 or x = 3

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

(x^2+3*x-5)/(x^2-(8*x)+15) = 0

(x^2+3*x-5)/(x^2-8*x+15) = 0

x^2+3*x-5 = 0

x^2+3*x-5 = 0

DELTA = 3^2-(-5*1*4)

DELTA = 29

DELTA > 0

x = (29^(1/2)-3)/(1*2) or x = (-29^(1/2)-3)/(1*2)

x = (29^(1/2)-3)/2 or x = (-(29^(1/2)+3))/2

(x+(29^(1/2)+3)/2)*(x-((29^(1/2)-3)/2)) = 0

x^2-8*x+15 = 0

x^2-8*x+15 = 0

DELTA = (-8)^2-(1*4*15)

DELTA = 4

DELTA > 0

x = (4^(1/2)+8)/(1*2) or x = (8-4^(1/2))/(1*2)

x = 5 or x = 3

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

((x+(29^(1/2)+3)/2)*(x-((29^(1/2)-3)/2)))/((x-3)*(x-5)) = 0

( x+(29^(1/2)+3)/2 )

x+(29^(1/2)+3)/2 = 0 // - (29^(1/2)+3)/2

x = -((29^(1/2)+3)/2)

( x-((29^(1/2)-3)/2) )

x-((29^(1/2)-3)/2) = 0 // + (29^(1/2)-3)/2

x = (29^(1/2)-3)/2

x in { -((29^(1/2)+3)/2), (29^(1/2)-3)/2 }

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