(x^2+6x-5)/(x^2-25)

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Solution for (x^2+6x-5)/(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)

(x^2+6*x-5)/(x^2-25) = 0

x^2+6*x-5 = 0

x^2+6*x-5 = 0

DELTA = 6^2-(-5*1*4)

DELTA = 56

DELTA > 0

x = (56^(1/2)-6)/(1*2) or x = (-56^(1/2)-6)/(1*2)

x = (2*14^(1/2)-6)/2 or x = (-2*14^(1/2)-6)/2

(x-((-2*14^(1/2)-6)/2))*(x-((2*14^(1/2)-6)/2)) = 0

((x-((-2*14^(1/2)-6)/2))*(x-((2*14^(1/2)-6)/2)))/(x^2-25) = 0

( x-((-2*14^(1/2)-6)/2) )

x-((-2*14^(1/2)-6)/2) = 0 // + (-2*14^(1/2)-6)/2

x = (-2*14^(1/2)-6)/2

( x-((2*14^(1/2)-6)/2) )

x-((2*14^(1/2)-6)/2) = 0 // + (2*14^(1/2)-6)/2

x = (2*14^(1/2)-6)/2

x in { (-2*14^(1/2)-6)/2, (2*14^(1/2)-6)/2 }

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