x^2/(1-x)^2=4.55*10^-5

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Solution for x^2/(1-x)^2=4.55*10^-5 equation: 


D( x )

(1-x)^2 = 0

(1-x)^2 = 0

(1-x)^2 = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

x in (-oo:1) U (1:+oo)

(x^2)/((1-x)^2) = 4.55*10^-5 // - 4.55*10^-5

(x^2)/((1-x)^2)-(4.55*10^-5) = 0

(x^2)/((1-x)^2)-4.55*10^-5 = 0

(x^2)/((1-x)^2)-0.0000455 = 0

(x^2)/((1-x)^2)+(-0.0000455*(1-x)^2)/((1-x)^2) = 0

x^2-0.0000455*(1-x)^2 = 0

0.9999545*x^2+0.000091*x-0.0000455 = 0

0.9999545*x^2+0.000091*x-0.0000455 = 0

0.9999545*x^2+0.000091*x-0.0000455 = 0

DELTA = 0.000091^2-(-0.0000455*0.9999545*4)

DELTA = 0.000091^2+0.000181991719

DELTA = 0.000182001719

DELTA > 0

x = ((0.000091^2+0.000181991719)^(1/2)-0.000091)/(0.9999545*2) or x = (-(0.000091^2+0.000181991719)^(1/2)-0.000091)/(0.9999545*2)

x = 0.50002275*((0.000091^2+0.000181991719)^(1/2)-0.000091) or x = -0.50002275*((0.000091^2+0.000181991719)^(1/2)+0.000091)

(x+0.50002275*((0.000091^2+0.000181991719)^(1/2)+0.000091))*(x-0.50002275*((0.000091^2+0.000181991719)^(1/2)-0.000091)) = 0

((x+0.50002275*((0.000091^2+0.000181991719)^(1/2)+0.000091))*(x-0.50002275*((0.000091^2+0.000181991719)^(1/2)-0.000091)))/((1-x)^2) = 0

((x+0.50002275*((0.000091^2+0.000181991719)^(1/2)+0.000091))*(x-0.50002275*((0.000091^2+0.000181991719)^(1/2)-0.000091)))/((1-x)^2) = 0 // * (1-x)^2

(x+0.50002275*((0.000091^2+0.000181991719)^(1/2)+0.000091))*(x-0.50002275*((0.000091^2+0.000181991719)^(1/2)-0.000091)) = 0

( x+0.50002275*((0.000091^2+0.000181991719)^(1/2)+0.000091) )

x+0.50002275*((0.000091^2+0.000181991719)^(1/2)+0.000091) = 0 // - 0.50002275*((0.000091^2+0.000181991719)^(1/2)+0.000091)

x = -(0.50002275*((0.000091^2+0.000181991719)^(1/2)+0.000091))

x = -0.50002275*((0.000091^2+0.000181991719)^(1/2)+0.000091)

( x-0.50002275*((0.000091^2+0.000181991719)^(1/2)-0.000091) )

x-0.50002275*((0.000091^2+0.000181991719)^(1/2)-0.000091) = 0 // + -0.50002275*((0.000091^2+0.000181991719)^(1/2)-0.000091)

x = -(-0.50002275*((0.000091^2+0.000181991719)^(1/2)-0.000091))

x = 0.50002275*((0.000091^2+0.000181991719)^(1/2)-0.000091)

x in { -0.50002275*((0.000091^2+0.000181991719)^(1/2)+0.000091), 0.50002275*((0.000091^2+0.000181991719)^(1/2)-0.000091) }

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