2/(x^2-4)-5/(x^2-3x-10)

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Solution for 2/(x^2-4)-5/(x^2-3x-10) equation:


D( x )

x^2-(3*x)-10 = 0

x^2-4 = 0

x^2-(3*x)-10 = 0

x^2-(3*x)-10 = 0

x^2-3*x-10 = 0

x^2-3*x-10 = 0

DELTA = (-3)^2-(-10*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(1*2) or x = (3-49^(1/2))/(1*2)

x = 5 or x = -2

x^2-4 = 0

x^2-4 = 0

1*x^2 = 4 // : 1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x in (-oo:-2) U (-2:2) U (2:5) U (5:+oo)

2/(x^2-4)-(5/(x^2-(3*x)-10)) = 0

2/(x^2-4)-5*(x^2-3*x-10)^-1 = 0

2/(x^2-4)-5/(x^2-3*x-10) = 0

x^2-3*x-10 = 0

x^2-3*x-10 = 0

x^2-3*x-10 = 0

DELTA = (-3)^2-(-10*1*4)

DELTA = 49

DELTA > 0

x = (49^(1/2)+3)/(1*2) or x = (3-49^(1/2))/(1*2)

x = 5 or x = -2

(x+2)*(x-5) = 0

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

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

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

-3*x^2-6*x = 0

-3*x^2-6*x = 0

-3*x*(x+2) = 0

x+2 = 0 // - 2

x = -2

-3*x*(x+2) = 0

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

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

-3*x*(x+2) = 0

( -3*x )

-3*x = 0 // : -3

x = 0

( x+2 )

x+2 = 0 // - 2

x = -2

x in { -2}

x = 0

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