2x^2/(1-x)^2=360

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Solution for 2x^2/(1-x)^2=360 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)

(2*x^2)/((1-x)^2) = 360 // - 360

(2*x^2)/((1-x)^2)-360 = 0

(2*x^2)/((1-x)^2)+(-360*(1-x)^2)/((1-x)^2) = 0

2*x^2-360*(1-x)^2 = 0

720*x-358*x^2-360 = 0

720*x-358*x^2-360 = 0

2*(360*x-179*x^2-180) = 0

360*x-179*x^2-180 = 0

DELTA = 360^2-(-180*(-179)*4)

DELTA = 720

DELTA > 0

x = (720^(1/2)-360)/(-179*2) or x = (-720^(1/2)-360)/(-179*2)

x = (12*5^(1/2)-360)/(-358) or x = (-12*5^(1/2)-360)/(-358)

2*(x-((12*5^(1/2)-360)/(-358)))*(x-((-12*5^(1/2)-360)/(-358))) = 0

(2*(x-((12*5^(1/2)-360)/(-358)))*(x-((-12*5^(1/2)-360)/(-358))))/((1-x)^2) = 0

(2*(x-((12*5^(1/2)-360)/(-358)))*(x-((-12*5^(1/2)-360)/(-358))))/((1-x)^2) = 0 // * (1-x)^2

2*(x-((12*5^(1/2)-360)/(-358)))*(x-((-12*5^(1/2)-360)/(-358))) = 0

( 2 )

2 = 0

x belongs to the empty set

( x-((-12*5^(1/2)-360)/(-358)) )

x-((-12*5^(1/2)-360)/(-358)) = 0 // + (-12*5^(1/2)-360)/(-358)

x = (-12*5^(1/2)-360)/(-358)

( x-((12*5^(1/2)-360)/(-358)) )

x-((12*5^(1/2)-360)/(-358)) = 0 // + (12*5^(1/2)-360)/(-358)

x = (12*5^(1/2)-360)/(-358)

x in { (-12*5^(1/2)-360)/(-358), (12*5^(1/2)-360)/(-358) }

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