(A-2/3)^2=4/25

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Solution for (A-2/3)^2=4/25 equation:


A in (-oo:+oo)

(A-(2/3))^2 = 4/25 // - 4/25

(A-(2/3))^2-(4/25) = 0

(A-2/3)^2-4/25 = 0

(25*(A-2/3)^2)/25-4/25 = 0

25*(A-2/3)^2-4 = 0

25*A^2-100/3*A+64/9 = 0

25*A^2-100/3*A+64/9 = 0

25*A^2-100/3*A+64/9 = 0

DELTA = (-100/3)^2-(4*64/9*25)

DELTA = 400

DELTA > 0

A = (400^(1/2)+100/3)/(2*25) or A = (100/3-400^(1/2))/(2*25)

A = 16/15 or A = 4/15

(A-4/15)*(A-16/15) = 0

((A-4/15)*(A-16/15))/25 = 0

((A-4/15)*(A-16/15))/25 = 0 // * 25

(A-4/15)*(A-16/15) = 0

( A-16/15 )

A-16/15 = 0 // + 16/15

A = 16/15

( A-4/15 )

A-4/15 = 0 // + 4/15

A = 4/15

A in { 16/15, 4/15 }

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