(x*x)/((0.2-x)*(0.2-x))=50

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Solution for (x*x)/((0.2-x)*(0.2-x))=50 equation: 


D( x )

(0.2-x)*(0.2-x) = 0

(0.2-x)*(0.2-x) = 0

(0.2-x)*(0.2-x) = 0

(0.2-x)^2 = 0

0.2-x = 0 // - 0.2

-x = -0.2 // * -1

x = 0.2

x in (-oo:0.2) U (0.2:+oo)

(x*x)/((0.2-x)*(0.2-x)) = 50 // - 50

(x*x)/((0.2-x)*(0.2-x))-50 = 0

(x^2)/((0.2-x)^2)-50 = 0

(x^2)/((0.2-x)^2)+(-50*(0.2-x)^2)/((0.2-x)^2) = 0

x^2-50*(0.2-x)^2 = 0

20*x-49*x^2-2 = 0

20*x-49*x^2-2 = 0

20*x-49*x^2-2 = 0

DELTA = 20^2-(-49*(-2)*4)

DELTA = 8

DELTA > 0

x = (8^(1/2)-20)/(-49*2) or x = (-8^(1/2)-20)/(-49*2)

x = (2*2^(1/2)-20)/(-98) or x = (-2*2^(1/2)-20)/(-98)

(x-((2*2^(1/2)-20)/(-98)))*(x-((-2*2^(1/2)-20)/(-98))) = 0

((x-((2*2^(1/2)-20)/(-98)))*(x-((-2*2^(1/2)-20)/(-98))))/((0.2-x)^2) = 0

((x-((2*2^(1/2)-20)/(-98)))*(x-((-2*2^(1/2)-20)/(-98))))/((0.2-x)^2) = 0 // * (0.2-x)^2

(x-((2*2^(1/2)-20)/(-98)))*(x-((-2*2^(1/2)-20)/(-98))) = 0

( x-((-2*2^(1/2)-20)/(-98)) )

x-((-2*2^(1/2)-20)/(-98)) = 0 // + (-2*2^(1/2)-20)/(-98)

x = (-2*2^(1/2)-20)/(-98)

( x-((2*2^(1/2)-20)/(-98)) )

x-((2*2^(1/2)-20)/(-98)) = 0 // + (2*2^(1/2)-20)/(-98)

x = (2*2^(1/2)-20)/(-98)

x in { (-2*2^(1/2)-20)/(-98), (2*2^(1/2)-20)/(-98) }

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