(10)/(x+3)=5x

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Solution for (10)/(x+3)=5x equation:


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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