(a-1/4)^2=4/25

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


a in (-oo:+oo)

(a-(1/4))^2 = 4/25 // - 4/25

(a-(1/4))^2-(4/25) = 0

(a-1/4)^2-4/25 = 0

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

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

25*a^2-25/2*a-39/16 = 0

25*a^2-25/2*a-39/16 = 0

25*a^2-25/2*a-39/16 = 0

DELTA = (-25/2)^2-(-39/16*4*25)

DELTA = 400

DELTA > 0

a = (400^(1/2)+25/2)/(2*25) or a = (25/2-400^(1/2))/(2*25)

a = 13/20 or a = -3/20

(a+3/20)*(a-13/20) = 0

((a+3/20)*(a-13/20))/25 = 0

((a+3/20)*(a-13/20))/25 = 0 // * 25

(a+3/20)*(a-13/20) = 0

( a+3/20 )

a+3/20 = 0 // - 3/20

a = -3/20

( a-13/20 )

a-13/20 = 0 // + 13/20

a = 13/20

a in { -3/20, 13/20 }

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