33=((2x)^2)/((0.06-x)(0.03-x))

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Solution for 33=((2x)^2)/((0.06-x)(0.03-x)) equation: 


D( x )

(0.06-x)*(0.03-x) = 0

(0.06-x)*(0.03-x) = 0

(0.06-x)*(0.03-x) = 0

( 0.03-x )

0.03-x = 0 // - 0.03

-x = -0.03 // * -1

x = 0.03

( 0.06-x )

0.06-x = 0 // - 0.06

-x = -0.06 // * -1

x = 0.06

x in (-oo:0.03) U (0.03:0.06) U (0.06:+oo)

33 = ((2*x)^2)/((0.06-x)*(0.03-x)) // - ((2*x)^2)/((0.06-x)*(0.03-x))

33-(((2*x)^2)/((0.06-x)*(0.03-x))) = 0

(-1*4*x^2)/((0.06-x)*(0.03-x))+33 = 0

(-1*4*x^2)/((0.06-x)*(0.03-x))+(33*(0.06-x)*(0.03-x))/((0.06-x)*(0.03-x)) = 0

33*(0.06-x)*(0.03-x)-1*4*x^2 = 0

29*x^2-2.97*x+0.0594 = 0

29*x^2-2.97*x+0.0594 = 0

29*x^2-2.97*x+0.0594 = 0

DELTA = (-2.97)^2-(0.0594*4*29)

DELTA = 2.97^2-6.8904

DELTA = 1.9305

DELTA > 0

x = ((2.97^2-6.8904)^(1/2)+2.97)/(2*29) or x = (2.97-(2.97^2-6.8904)^(1/2))/(2*29)

x = ((2.97^2-6.8904)^(1/2)+2.97)/58 or x = (2.97-(2.97^2-6.8904)^(1/2))/58

(x-((2.97-(2.97^2-6.8904)^(1/2))/58))*(x-(((2.97^2-6.8904)^(1/2)+2.97)/58)) = 0

((x-((2.97-(2.97^2-6.8904)^(1/2))/58))*(x-(((2.97^2-6.8904)^(1/2)+2.97)/58)))/((0.06-x)*(0.03-x)) = 0

((x-((2.97-(2.97^2-6.8904)^(1/2))/58))*(x-(((2.97^2-6.8904)^(1/2)+2.97)/58)))/((0.06-x)*(0.03-x)) = 0 // * (0.06-x)*(0.03-x)

(x-((2.97-(2.97^2-6.8904)^(1/2))/58))*(x-(((2.97^2-6.8904)^(1/2)+2.97)/58)) = 0

( x-(((2.97^2-6.8904)^(1/2)+2.97)/58) )

x-(((2.97^2-6.8904)^(1/2)+2.97)/58) = 0 // + ((2.97^2-6.8904)^(1/2)+2.97)/58

x = ((2.97^2-6.8904)^(1/2)+2.97)/58

( x-((2.97-(2.97^2-6.8904)^(1/2))/58) )

x-((2.97-(2.97^2-6.8904)^(1/2))/58) = 0 // + (2.97-(2.97^2-6.8904)^(1/2))/58

x = (2.97-(2.97^2-6.8904)^(1/2))/58

x in { ((2.97^2-6.8904)^(1/2)+2.97)/58, (2.97-(2.97^2-6.8904)^(1/2))/58 }

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