x*x-216*10^3/x^2=0

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Solution for x*x-216*10^3/x^2=0 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

x*x-((216*10^3)/(x^2)) = 0

x*x-216*10^3*x^-2 = 0

x^2-216000*x^-2 = 0

t_1 = x^2

1*t_1^1-216000*t_1^-1 = 0

1*t_1^1-216000*t_1^-1 = 0

(1*t_1^2-216000*t_1^0)/(t_1^1) = 0 // * t_1^2

t_1^1*(1*t_1^2-216000*t_1^0) = 0

t_1^1

t_1^2-216000 = 0

t_1^2-216000 = 0

DELTA = 0^2-(-216000*1*4)

DELTA = 864000

DELTA > 0

t_1 = (864000^(1/2)+0)/(1*2) or t_1 = (0-864000^(1/2))/(1*2)

t_1 = 120*15^(1/2) or t_1 = -120*15^(1/2)

t_1 in { -120*15^(1/2), 120*15^(1/2)} 

t_1 = -120*15^(1/2)

x^2-(-120*15^(1/2)) = 0

x^2+120*15^(1/2) = 0

1*x^2 = -(120*15^(1/2)) // : 1

x^2 = -120*15^(1/2)

t_1 = 120*15^(1/2)

x^2-(120*15^(1/2)) = 0

x^2-120*15^(1/2) = 0

1*x^2 = -(-120*15^(1/2)) // : 1

x^2 = 120*15^(1/2)

x^2 = 120*15^(1/2) // ^ 1/2

abs(x) = 2*30^(1/2)*15^(1/4)

x = 2*30^(1/2)*15^(1/4) or x = -(2*30^(1/2)*15^(1/4))

x in { 2*30^(1/2)*15^(1/4), -(2*30^(1/2)*15^(1/4)) }

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