3/x+4/(x+3)=1

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Solution for 3/x+4/(x+3)=1 equation: 


D( x )

x = 0

x+3 = 0

x = 0

x = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:0) U (0:+oo)

4/(x+3)+3/x = 1 // - 1

4/(x+3)+3/x-1 = 0

(4*x)/(x*(x+3))+(3*(x+3))/(x*(x+3))+(-1*x*(x+3))/(x*(x+3)) = 0

3*(x+3)-1*x*(x+3)+4*x = 0

7*x-x^2-3*x+9 = 0

4*x-x^2+9 = 0

4*x-x^2+9 = 0

4*x-x^2+9 = 0

DELTA = 4^2-(-1*4*9)

DELTA = 52

DELTA > 0

x = (52^(1/2)-4)/(-1*2) or x = (-52^(1/2)-4)/(-1*2)

x = (2*13^(1/2)-4)/(-2) or x = (-2*13^(1/2)-4)/(-2)

(x-((2*13^(1/2)-4)/(-2)))*(x-((-2*13^(1/2)-4)/(-2))) = 0

((x-((2*13^(1/2)-4)/(-2)))*(x-((-2*13^(1/2)-4)/(-2))))/(x*(x+3)) = 0

((x-((2*13^(1/2)-4)/(-2)))*(x-((-2*13^(1/2)-4)/(-2))))/(x*(x+3)) = 0 // * x*(x+3)

(x-((2*13^(1/2)-4)/(-2)))*(x-((-2*13^(1/2)-4)/(-2))) = 0

( x-((-2*13^(1/2)-4)/(-2)) )

x-((-2*13^(1/2)-4)/(-2)) = 0 // + (-2*13^(1/2)-4)/(-2)

x = (-2*13^(1/2)-4)/(-2)

( x-((2*13^(1/2)-4)/(-2)) )

x-((2*13^(1/2)-4)/(-2)) = 0 // + (2*13^(1/2)-4)/(-2)

x = (2*13^(1/2)-4)/(-2)

x in { (-2*13^(1/2)-4)/(-2), (2*13^(1/2)-4)/(-2) }

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