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

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


x in (-oo:+oo)

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

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

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

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

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

4*x^2-4*x-24 = 0

4*x^2-4*x-24 = 0

4*(x^2-x-6) = 0

x^2-x-6 = 0

DELTA = (-1)^2-(-6*1*4)

DELTA = 25

DELTA > 0

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

x = 3 or x = -2

4*(x+2)*(x-3) = 0

(4*(x+2)*(x-3))/4 = 0

(4*(x+2)*(x-3))/4 = 0 // * 4

4*(x+2)*(x-3) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -2, 3 }

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