(5z-1)^2=4/25

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Solution for (5z-1)^2=4/25 equation: 


z in (-oo:+oo)

(5*z-1)^2 = 4/25 // - 4/25

(5*z-1)^2-(4/25) = 0

(5*z-1)^2-4/25 = 0

(25*(5*z-1)^2)/25-4/25 = 0

25*(5*z-1)^2-4 = 0

625*z^2-250*z+21 = 0

625*z^2-250*z+21 = 0

625*z^2-250*z+21 = 0

DELTA = (-250)^2-(4*21*625)

DELTA = 10000

DELTA > 0

z = (10000^(1/2)+250)/(2*625) or z = (250-10000^(1/2))/(2*625)

z = 7/25 or z = 3/25

(z-3/25)*(z-7/25) = 0

((z-3/25)*(z-7/25))/25 = 0

((z-3/25)*(z-7/25))/25 = 0 // * 25

(z-3/25)*(z-7/25) = 0

( z-3/25 )

z-3/25 = 0 // + 3/25

z = 3/25

( z-7/25 )

z-7/25 = 0 // + 7/25

z = 7/25

z in { 3/25, 7/25 }

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