(2x^2-13x+15)/(x^2-25)

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Solution for (2x^2-13x+15)/(x^2-25) equation: 


D( x )

x^2-25 = 0

x^2-25 = 0

x^2-25 = 0

1*x^2 = 25 // : 1

x^2 = 25

x^2 = 25 // ^ 1/2

abs(x) = 5

x = 5 or x = -5

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

(2*x^2-(13*x)+15)/(x^2-25) = 0

(2*x^2-13*x+15)/(x^2-25) = 0

2*x^2-13*x+15 = 0

2*x^2-13*x+15 = 0

DELTA = (-13)^2-(2*4*15)

DELTA = 49

DELTA > 0

x = (49^(1/2)+13)/(2*2) or x = (13-49^(1/2))/(2*2)

x = 5 or x = 3/2

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

((x-3/2)*(x-5))/(x^2-25) = 0

( x-3/2 )

x-3/2 = 0 // + 3/2

x = 3/2

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 5} 

x = 3/2

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