50/100=(40)^2/x^2

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Solution for 50/100=(40)^2/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)

50/100 = (40^2)/(x^2) // - (40^2)/(x^2)

50/100-((40^2)/(x^2)) = 0

-1600*x^-2 = -1/2 // : -1600

x^-2 = 1/3200

-2 < 0

1/(x^2) = 1/3200 // * x^2

1 = 1/3200*x^2 // : 1/3200

3200 = x^2

x^2 = 3200 // ^ 1/2

abs(x) = 40*2^(1/2)

x = 40*2^(1/2) or x = -(40*2^(1/2))

x in { 40*2^(1/2), -(40*2^(1/2)) }

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