4x^-2/5=9

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Solution for 4x^-2/5=9 equation: 


D( x )

x = 0

x = 0

x = 0

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

(4*x^-2)/5 = 9 // - 9

(4*x^-2)/5-9 = 0

4/5*x^-2 = 9 // : 4/5

x^-2 = 45/4

-2 < 0

1/(x^2) = 45/4 // * x^2

1 = 45/4*x^2 // : 45/4

4/45 = x^2

x^2 = 4/45 // ^ 1/2

abs(x) = (4/45)^(1/2)

x = (4/45)^(1/2) or x = -(4/45)^(1/2)

x in { (4/45)^(1/2), -(4/45)^(1/2) }

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