(2x^2)/(0.8-x^2)=53.3

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Solution for (2x^2)/(0.8-x^2)=53.3 equation: 


D( x )

0.8-x^2 = 0

0.8-x^2 = 0

0.8-x^2 = 0

-1*x^2 = -0.8 // : -1

x^2 = 0.8

x^2 = 0.8 // ^ 1/2

abs(x) = 0.8^(1/2)

x = 0.8^(1/2) or x = -0.8^(1/2)

x in (-oo:-0.8^(1/2)) U (-0.8^(1/2):0.8^(1/2)) U (0.8^(1/2):+oo)

(2*x^2)/(0.8-x^2) = 53.3 // - 53.3

(2*x^2)/(0.8-x^2)-53.3 = 0

(2*x^2)/(0.8-x^2)+(-53.3*(0.8-x^2))/(0.8-x^2) = 0

2*x^2-53.3*(0.8-x^2) = 0

55.3*x^2-42.64 = 0

(55.3*x^2-42.64)/(0.8-x^2) = 0

(55.3*x^2-42.64)/(0.8-x^2) = 0 // * 0.8-x^2

55.3*x^2-42.64 = 0

55.3*x^2 = 42.64 // : 55.3

x^2 = 0.77106691

x^2 = 0.77106691 // ^ 1/2

abs(x) = 0.77106691^(1/2)

x = 0.77106691^(1/2) or x = -0.77106691^(1/2)

x in { 0.77106691^(1/2), -0.77106691^(1/2) }

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