(3/(x^2-3x-10))-(x/(x^2+2x-35))

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Solution for (3/(x^2-3x-10))-(x/(x^2+2x-35)) equation: 


D( x )

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

x^2+2*x-35 = 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+2*x-35 = 0

x^2+2*x-35 = 0

x^2+2*x-35 = 0

DELTA = 2^2-(-35*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)-2)/(1*2) or x = (-144^(1/2)-2)/(1*2)

x = 5 or x = -7

x in (-oo:-7) U (-7:-2) U (-2:5) U (5:+oo)

3/(x^2-(3*x)-10)-(x/(x^2+2*x-35)) = 0

3/(x^2-3*x-10)-(x/(x^2+2*x-35)) = 0

3/(x^2-3*x-10)+(-1*x)/(x^2+2*x-35) = 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

x^2+2*x-35 = 0

x^2+2*x-35 = 0

x^2+2*x-35 = 0

DELTA = 2^2-(-35*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)-2)/(1*2) or x = (-144^(1/2)-2)/(1*2)

x = 5 or x = -7

(x+7)*(x-5) = 0

3/((x+2)*(x-5))+(-1*x)/((x+7)*(x-5)) = 0

(3*(x+7))/((x+2)*(x-5)*(x+7))+(-1*x*(x+2))/((x+2)*(x-5)*(x+7)) = 0

3*(x+7)-1*x*(x+2) = 0

x-x^2+21 = 0

x-x^2+21 = 0

x-x^2+21 = 0

DELTA = 1^2-(-1*4*21)

DELTA = 85

DELTA > 0

x = (85^(1/2)-1)/(-1*2) or x = (-85^(1/2)-1)/(-1*2)

x = (85^(1/2)-1)/(-2) or x = (85^(1/2)+1)/2

(x-((85^(1/2)-1)/(-2)))*(x-((85^(1/2)+1)/2)) = 0

((x-((85^(1/2)-1)/(-2)))*(x-((85^(1/2)+1)/2)))/((x+2)*(x-5)*(x+7)) = 0

((x-((85^(1/2)-1)/(-2)))*(x-((85^(1/2)+1)/2)))/((x+2)*(x-5)*(x+7)) = 0 // * (x+2)*(x-5)*(x+7)

(x-((85^(1/2)-1)/(-2)))*(x-((85^(1/2)+1)/2)) = 0

( x-((85^(1/2)+1)/2) )

x-((85^(1/2)+1)/2) = 0 // + (85^(1/2)+1)/2

x = (85^(1/2)+1)/2

( x-((85^(1/2)-1)/(-2)) )

x-((85^(1/2)-1)/(-2)) = 0 // + (85^(1/2)-1)/(-2)

x = (85^(1/2)-1)/(-2)

x in { (85^(1/2)+1)/2, (85^(1/2)-1)/(-2) }

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