1/50=(1/(950-25-x))-1/x

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Solution for 1/50=(1/(950-25-x))-1/x equation: 


D( x )

950-x-25 = 0

x = 0

950-x-25 = 0

950-x-25 = 0

925-x = 0 // - 925

-x = -925 // * -1

x = 925

x = 0

x = 0

x in (-oo:0) U (0:925) U (925:+oo)

1/50 = 1/(950-x-25)-(1/x) // - 1/(950-x-25)-(1/x)

1/x-(1/(950-x-25))+1/50 = 0

1/x-(950-x-25)^-1+1/50 = 0

1/x-1/(925-x)+1/50 = 0

(-1*50*x)/(50*x*(925-x))+(1*50*(925-x))/(50*x*(925-x))+(1*x*(925-x))/(50*x*(925-x)) = 0

1*50*(925-x)+1*x*(925-x)-1*50*x = 0

925*x-x^2-100*x+46250 = 0

825*x-x^2+46250 = 0

825*x-x^2+46250 = 0

825*x-x^2+46250 = 0

DELTA = 825^2-(-1*4*46250)

DELTA = 865625

DELTA > 0

x = (865625^(1/2)-825)/(-1*2) or x = (-865625^(1/2)-825)/(-1*2)

x = (25*1385^(1/2)-825)/(-2) or x = (-25*1385^(1/2)-825)/(-2)

(x-((25*1385^(1/2)-825)/(-2)))*(x-((-25*1385^(1/2)-825)/(-2))) = 0

((x-((25*1385^(1/2)-825)/(-2)))*(x-((-25*1385^(1/2)-825)/(-2))))/(50*x*(925-x)) = 0

((x-((25*1385^(1/2)-825)/(-2)))*(x-((-25*1385^(1/2)-825)/(-2))))/(50*x*(925-x)) = 0 // * 50*x*(925-x)

(x-((25*1385^(1/2)-825)/(-2)))*(x-((-25*1385^(1/2)-825)/(-2))) = 0

( x-((-25*1385^(1/2)-825)/(-2)) )

x-((-25*1385^(1/2)-825)/(-2)) = 0 // + (-25*1385^(1/2)-825)/(-2)

x = (-25*1385^(1/2)-825)/(-2)

( x-((25*1385^(1/2)-825)/(-2)) )

x-((25*1385^(1/2)-825)/(-2)) = 0 // + (25*1385^(1/2)-825)/(-2)

x = (25*1385^(1/2)-825)/(-2)

x in { (-25*1385^(1/2)-825)/(-2), (25*1385^(1/2)-825)/(-2) }

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