4z/15=60/z

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Solution for 4z/15=60/z equation: 


D( z )

z = 0

z = 0

z = 0

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

(4*z)/15 = 60/z // - 60/z

(4*z)/15-(60/z) = 0

(4*z)/15-60*z^-1 = 0

4/15*z^1-60*z^-1 = 0

(4/15*z^2-60*z^0)/(z^1) = 0 // * z^2

z^1*(4/15*z^2-60*z^0) = 0

z^1

(4/15)*z^2-60 = 0

(4/15)*z^2-60 = 0

DELTA = 0^2-(-60*4*(4/15))

DELTA = 64

DELTA > 0

z = (64^(1/2)+0)/(2*(4/15)) or z = (0-64^(1/2))/(2*(4/15))

z = 15 or z = -15

z in { -15, 15} 

z in { -15, 15 }

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