18=(x^2)/((0.05-x)(0.1-x))

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Solution for 18=(x^2)/((0.05-x)(0.1-x)) equation: 


D( x )

(0.05-x)*(0.1-x) = 0

(0.05-x)*(0.1-x) = 0

(0.05-x)*(0.1-x) = 0

( 0.05-x )

0.05-x = 0 // - 0.05

-x = -0.05 // * -1

x = 0.05

( 0.1-x )

0.1-x = 0 // - 0.1

-x = -0.1 // * -1

x = 0.1

x in (-oo:0.05) U (0.05:0.1) U (0.1:+oo)

18 = (x^2)/((0.05-x)*(0.1-x)) // - (x^2)/((0.05-x)*(0.1-x))

18-((x^2)/((0.05-x)*(0.1-x))) = 0

(-1*x^2)/((0.05-x)*(0.1-x))+18 = 0

(-1*x^2)/((0.05-x)*(0.1-x))+(18*(0.05-x)*(0.1-x))/((0.05-x)*(0.1-x)) = 0

18*(0.05-x)*(0.1-x)-1*x^2 = 0

17*x^2-2.7*x+0.09 = 0

17*x^2-2.7*x+0.09 = 0

17*x^2-2.7*x+0.09 = 0

DELTA = (-2.7)^2-(0.09*4*17)

DELTA = 2.7^2-6.12

DELTA = 1.17

DELTA > 0

x = ((2.7^2-6.12)^(1/2)+2.7)/(2*17) or x = (2.7-(2.7^2-6.12)^(1/2))/(2*17)

x = ((2.7^2-6.12)^(1/2)+2.7)/34 or x = (2.7-(2.7^2-6.12)^(1/2))/34

(x-((2.7-(2.7^2-6.12)^(1/2))/34))*(x-(((2.7^2-6.12)^(1/2)+2.7)/34)) = 0

((x-((2.7-(2.7^2-6.12)^(1/2))/34))*(x-(((2.7^2-6.12)^(1/2)+2.7)/34)))/((0.05-x)*(0.1-x)) = 0

((x-((2.7-(2.7^2-6.12)^(1/2))/34))*(x-(((2.7^2-6.12)^(1/2)+2.7)/34)))/((0.05-x)*(0.1-x)) = 0 // * (0.05-x)*(0.1-x)

(x-((2.7-(2.7^2-6.12)^(1/2))/34))*(x-(((2.7^2-6.12)^(1/2)+2.7)/34)) = 0

( x-(((2.7^2-6.12)^(1/2)+2.7)/34) )

x-(((2.7^2-6.12)^(1/2)+2.7)/34) = 0 // + ((2.7^2-6.12)^(1/2)+2.7)/34

x = ((2.7^2-6.12)^(1/2)+2.7)/34

( x-((2.7-(2.7^2-6.12)^(1/2))/34) )

x-((2.7-(2.7^2-6.12)^(1/2))/34) = 0 // + (2.7-(2.7^2-6.12)^(1/2))/34

x = (2.7-(2.7^2-6.12)^(1/2))/34

x in { ((2.7^2-6.12)^(1/2)+2.7)/34, (2.7-(2.7^2-6.12)^(1/2))/34 }

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