2400=(x^2/4)/(0.110-x)^2

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Solution for 2400=(x^2/4)/(0.110-x)^2 equation: 


D( x )

(0.11-x)^2 = 0

(0.11-x)^2 = 0

(0.11-x)^2 = 0

0.11-x = 0 // - 0.11

-x = -0.11 // * -1

x = 0.11

x in (-oo:0.11) U (0.11:+oo)

2400 = ((x^2)/4)/((0.11-x)^2) // - ((x^2)/4)/((0.11-x)^2)

2400-(((x^2)/4)/((0.11-x)^2)) = 0

(-1*1/4*x^2)/((0.11-x)^2)+2400 = 0

(-1*1/4*x^2)/((0.11-x)^2)+(2400*(0.11-x)^2)/((0.11-x)^2) = 0

2400*(0.11-x)^2-1*1/4*x^2 = 0

9599/4*x^2-528*x+29.04 = 0

9599/4*x^2-528*x+29.04 = 0

9599/4*x^2-528*x+29.04 = 0

DELTA = (-528)^2-(4*29.04*9599/4)

DELTA = 29.04

DELTA > 0

x = (29.04^(1/2)+528)/(2*9599/4) or x = (528-29.04^(1/2))/(2*9599/4)

x = 2/9599*(29.04^(1/2)+528) or x = 2/9599*(528-29.04^(1/2))

(x-2/9599*(528-29.04^(1/2)))*(x-2/9599*(29.04^(1/2)+528)) = 0

((x-2/9599*(528-29.04^(1/2)))*(x-2/9599*(29.04^(1/2)+528)))/((0.11-x)^2) = 0

((x-2/9599*(528-29.04^(1/2)))*(x-2/9599*(29.04^(1/2)+528)))/((0.11-x)^2) = 0 // * (0.11-x)^2

(x-2/9599*(528-29.04^(1/2)))*(x-2/9599*(29.04^(1/2)+528)) = 0

( x-2/9599*(29.04^(1/2)+528) )

x-2/9599*(29.04^(1/2)+528) = 0 // + -2/9599*(29.04^(1/2)+528)

x = -(-2/9599*(29.04^(1/2)+528))

x = 2/9599*(29.04^(1/2)+528)

( x-2/9599*(528-29.04^(1/2)) )

x-2/9599*(528-29.04^(1/2)) = 0 // + -2/9599*(528-29.04^(1/2))

x = -(-2/9599*(528-29.04^(1/2)))

x = 2/9599*(528-29.04^(1/2))

x in { 2/9599*(29.04^(1/2)+528), 2/9599*(528-29.04^(1/2)) }

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