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D( x )
x+3 = 0
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-3) U (-3:+oo)
10/(x+3) = 5*x // - 5*x
10/(x+3)-(5*x) = 0
10/(x+3)-5*x = 0
10/(x+3)+(-5*x*(x+3))/(x+3) = 0
10-5*x*(x+3) = 0
10-5*x^2-15*x = 0
10-5*x^2-15*x = 0
5*(2-x^2-3*x) = 0
2-x^2-3*x = 0
DELTA = (-3)^2-(-1*2*4)
DELTA = 17
DELTA > 0
x = (17^(1/2)+3)/(-1*2) or x = (3-17^(1/2))/(-1*2)
x = (17^(1/2)+3)/(-2) or x = (3-17^(1/2))/(-2)
5*(x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2))) = 0
(5*(x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2))))/(x+3) = 0
(5*(x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2))))/(x+3) = 0 // * x+3
5*(x-((17^(1/2)+3)/(-2)))*(x-((3-17^(1/2))/(-2))) = 0
( x-((17^(1/2)+3)/(-2)) )
x-((17^(1/2)+3)/(-2)) = 0 // + (17^(1/2)+3)/(-2)
x = (17^(1/2)+3)/(-2)
( x-((3-17^(1/2))/(-2)) )
x-((3-17^(1/2))/(-2)) = 0 // + (3-17^(1/2))/(-2)
x = (3-17^(1/2))/(-2)
x in { (17^(1/2)+3)/(-2), (3-17^(1/2))/(-2) }
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