49-4(1/x^2)

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Solution for 49-4(1/x^2) 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)

49-(4*(1/(x^2))) = 0

49-4*x^-2 = 0

-4*x^-2 = -49 // : -4

x^-2 = 49/4

-2 < 0

1/(x^2) = 49/4 // * x^2

1 = 49/4*x^2 // : 49/4

4/49 = x^2

x^2 = 4/49 // ^ 1/2

abs(x) = 2/7

x = 2/7 or x = -2/7

x in { 2/7, -2/7 }

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