(x^2)/(0.36-2x)^2=397

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Solution for (x^2)/(0.36-2x)^2=397 equation: 


D( x )

(0.36-(2*x))^2 = 0

(0.36-(2*x))^2 = 0

(0.36-(2*x))^2 = 0

(0.36-2*x)^2 = 0

0.36-2*x = 0 // - 0.36

-2*x = -0.36 // : -2

x = -0.36/(-2)

x = 0.18

x in (-oo:0.18) U (0.18:+oo)

(x^2)/((0.36-(2*x))^2) = 397 // - 397

(x^2)/((0.36-(2*x))^2)-397 = 0

(x^2)/((0.36-2*x)^2)-397 = 0

(x^2)/((0.36-2*x)^2)+(-397*(0.36-2*x)^2)/((0.36-2*x)^2) = 0

x^2-397*(0.36-2*x)^2 = 0

571.68*x-1587*x^2-397*0.36^2 = 0

571.68*x-1587*x^2-397*0.36^2 = 0

571.68*x-1587*x^2-397*0.36^2 = 0

DELTA = 571.68^2-(-1587*(-397)*4*0.36^2)

DELTA = 571.68^2-2520156*0.36^2

DELTA = 205.8048

DELTA > 0

x = ((571.68^2-2520156*0.36^2)^(1/2)-571.68)/(-1587*2) or x = (-(571.68^2-2520156*0.36^2)^(1/2)-571.68)/(-1587*2)

x = ((571.68^2-2520156*0.36^2)^(1/2)-571.68)/(-3174) or x = ((571.68^2-2520156*0.36^2)^(1/2)+571.68)/3174

(x-(((571.68^2-2520156*0.36^2)^(1/2)-571.68)/(-3174)))*(x-(((571.68^2-2520156*0.36^2)^(1/2)+571.68)/3174)) = 0

((x-(((571.68^2-2520156*0.36^2)^(1/2)-571.68)/(-3174)))*(x-(((571.68^2-2520156*0.36^2)^(1/2)+571.68)/3174)))/((0.36-2*x)^2) = 0

((x-(((571.68^2-2520156*0.36^2)^(1/2)-571.68)/(-3174)))*(x-(((571.68^2-2520156*0.36^2)^(1/2)+571.68)/3174)))/((0.36-2*x)^2) = 0 // * (0.36-2*x)^2

(x-(((571.68^2-2520156*0.36^2)^(1/2)-571.68)/(-3174)))*(x-(((571.68^2-2520156*0.36^2)^(1/2)+571.68)/3174)) = 0

( x-(((571.68^2-2520156*0.36^2)^(1/2)+571.68)/3174) )

x-(((571.68^2-2520156*0.36^2)^(1/2)+571.68)/3174) = 0 // + ((571.68^2-2520156*0.36^2)^(1/2)+571.68)/3174

x = ((571.68^2-2520156*0.36^2)^(1/2)+571.68)/3174

( x-(((571.68^2-2520156*0.36^2)^(1/2)-571.68)/(-3174)) )

x-(((571.68^2-2520156*0.36^2)^(1/2)-571.68)/(-3174)) = 0 // + ((571.68^2-2520156*0.36^2)^(1/2)-571.68)/(-3174)

x = ((571.68^2-2520156*0.36^2)^(1/2)-571.68)/(-3174)

x in { ((571.68^2-2520156*0.36^2)^(1/2)+571.68)/3174, ((571.68^2-2520156*0.36^2)^(1/2)-571.68)/(-3174) }

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