x/(4-x*x)=0.84

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Solution for x/(4-x*x)=0.84 equation: 


D( x )

4-(x*x) = 0

4-(x*x) = 0

4-(x*x) = 0

4-x^2 = 0

-1*x^2 = -4 // : -1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x in (-oo:-2) U (-2:2) U (2:+oo)

x/(4-(x*x)) = 0.84 // - 0.84

x/(4-(x*x))-0.84 = 0

x/(4-x^2)-0.84 = 0

x/(4-x^2)+(-0.84*(4-x^2))/(4-x^2) = 0

x-0.84*(4-x^2) = 0

0.84*x^2+x-3.36 = 0

0.84*x^2+x-3.36 = 0

0.84*x^2+x-3.36 = 0

DELTA = 1^2-(-3.36*0.84*4)

DELTA = 12.2896

DELTA > 0

x = (12.2896^(1/2)-1)/(0.84*2) or x = (-12.2896^(1/2)-1)/(0.84*2)

x = 0.5952381*(12.2896^(1/2)-1) or x = -0.5952381*(12.2896^(1/2)+1)

(x+0.5952381*(12.2896^(1/2)+1))*(x-0.5952381*(12.2896^(1/2)-1)) = 0

((x+0.5952381*(12.2896^(1/2)+1))*(x-0.5952381*(12.2896^(1/2)-1)))/(4-x^2) = 0

((x+0.5952381*(12.2896^(1/2)+1))*(x-0.5952381*(12.2896^(1/2)-1)))/(4-x^2) = 0 // * 4-x^2

(x+0.5952381*(12.2896^(1/2)+1))*(x-0.5952381*(12.2896^(1/2)-1)) = 0

( x+0.5952381*(12.2896^(1/2)+1) )

x+0.5952381*(12.2896^(1/2)+1) = 0 // - 0.5952381*(12.2896^(1/2)+1)

x = -(0.5952381*(12.2896^(1/2)+1))

x = -0.5952381*(12.2896^(1/2)+1)

( x-0.5952381*(12.2896^(1/2)-1) )

x-0.5952381*(12.2896^(1/2)-1) = 0 // + -0.5952381*(12.2896^(1/2)-1)

x = -(-0.5952381*(12.2896^(1/2)-1))

x = 0.5952381*(12.2896^(1/2)-1)

x in { -0.5952381*(12.2896^(1/2)+1), 0.5952381*(12.2896^(1/2)-1) }

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