0.730x=(0.030-x)/x

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Solution for 0.730x=(0.030-x)/x equation:


D( x )

x = 0

x = 0

x = 0

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

0.73*x = (0.03-x)/x // - (0.03-x)/x

0.73*x-((0.03-x)/x) = 0

(-1*(0.03-x))/x+0.73*x = 0

(-1*(0.03-x))/x+(0.73*x*x)/x = 0

0.73*x*x-1*(0.03-x) = 0

0.73*x^2+x-0.03 = 0

0.73*x^2+x-0.03 = 0

0.73*x^2+x-0.03 = 0

DELTA = 1^2-(-0.03*0.73*4)

DELTA = 1.0876

DELTA > 0

x = (1.0876^(1/2)-1)/(0.73*2) or x = (-1.0876^(1/2)-1)/(0.73*2)

x = 0.68493151*(1.0876^(1/2)-1) or x = -0.68493151*(1.0876^(1/2)+1)

(x+0.68493151*(1.0876^(1/2)+1))*(x-0.68493151*(1.0876^(1/2)-1)) = 0

((x+0.68493151*(1.0876^(1/2)+1))*(x-0.68493151*(1.0876^(1/2)-1)))/x = 0

((x+0.68493151*(1.0876^(1/2)+1))*(x-0.68493151*(1.0876^(1/2)-1)))/x = 0 // * x

(x+0.68493151*(1.0876^(1/2)+1))*(x-0.68493151*(1.0876^(1/2)-1)) = 0

( x+0.68493151*(1.0876^(1/2)+1) )

x+0.68493151*(1.0876^(1/2)+1) = 0 // - 0.68493151*(1.0876^(1/2)+1)

x = -(0.68493151*(1.0876^(1/2)+1))

x = -0.68493151*(1.0876^(1/2)+1)

( x-0.68493151*(1.0876^(1/2)-1) )

x-0.68493151*(1.0876^(1/2)-1) = 0 // + -0.68493151*(1.0876^(1/2)-1)

x = -(-0.68493151*(1.0876^(1/2)-1))

x = 0.68493151*(1.0876^(1/2)-1)

x in { -0.68493151*(1.0876^(1/2)+1), 0.68493151*(1.0876^(1/2)-1) }

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