54,3=((2x)^2/(0,1-x)^2)

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Solution for 54,3=((2x)^2/(0,1-x)^2) equation:


D( x )

(0.1-x)^2 = 0

(0.1-x)^2 = 0

(0.1-x)^2 = 0

0.1-x = 0 // - 0.1

-x = -0.1 // * -1

x = 0.1

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

54.3 = ((2*x)^2)/((0.1-x)^2) // - ((2*x)^2)/((0.1-x)^2)

54.3-(((2*x)^2)/((0.1-x)^2)) = 0

(-1*4*x^2)/((0.1-x)^2)+54.3 = 0

(-1*4*x^2)/((0.1-x)^2)+(54.3*(0.1-x)^2)/((0.1-x)^2) = 0

54.3*(0.1-x)^2-1*4*x^2 = 0

50.3*x^2-10.86*x+0.543 = 0

50.3*x^2-10.86*x+0.543 = 0

50.3*x^2-10.86*x+0.543 = 0

DELTA = (-10.86)^2-(0.543*4*50.3)

DELTA = 10.86^2-109.2516

DELTA = 8.688

DELTA > 0

x = ((10.86^2-109.2516)^(1/2)+10.86)/(2*50.3) or x = (10.86-(10.86^2-109.2516)^(1/2))/(2*50.3)

x = 0.00994036*((10.86^2-109.2516)^(1/2)+10.86) or x = 0.00994036*(10.86-(10.86^2-109.2516)^(1/2))

(x-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)))*(x-0.00994036*((10.86^2-109.2516)^(1/2)+10.86)) = 0

((x-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)))*(x-0.00994036*((10.86^2-109.2516)^(1/2)+10.86)))/((0.1-x)^2) = 0

((x-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)))*(x-0.00994036*((10.86^2-109.2516)^(1/2)+10.86)))/((0.1-x)^2) = 0 // * (0.1-x)^2

(x-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)))*(x-0.00994036*((10.86^2-109.2516)^(1/2)+10.86)) = 0

( x-0.00994036*((10.86^2-109.2516)^(1/2)+10.86) )

x-0.00994036*((10.86^2-109.2516)^(1/2)+10.86) = 0 // + -0.00994036*((10.86^2-109.2516)^(1/2)+10.86)

x = -(-0.00994036*((10.86^2-109.2516)^(1/2)+10.86))

x = 0.00994036*((10.86^2-109.2516)^(1/2)+10.86)

( x-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)) )

x-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)) = 0 // + -0.00994036*(10.86-(10.86^2-109.2516)^(1/2))

x = -(-0.00994036*(10.86-(10.86^2-109.2516)^(1/2)))

x = 0.00994036*(10.86-(10.86^2-109.2516)^(1/2))

x in { 0.00994036*((10.86^2-109.2516)^(1/2)+10.86), 0.00994036*(10.86-(10.86^2-109.2516)^(1/2)) }

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