(x-9/2)(x-9/2)=9/4

Solution for (x-9/2)(x-9/2)=9/4 equation:

x in (-oo:+oo)

(x-(9/2))*(x-(9/2)) = 9/4 // - 9/4

(x-(9/2))*(x-(9/2))-(9/4) = 0

(x-9/2)*(x-9/2)-9/4 = 0

(x-9/2)^2-9/4 = 0

(4*(x-9/2)^2)/4-9/4 = 0

4*(x-9/2)^2-9 = 0

4*x^2-36*x+72 = 0

4*x^2-36*x+72 = 0

4*(x^2-9*x+18) = 0

x^2-9*x+18 = 0

DELTA = (-9)^2-(1*4*18)

DELTA = 9

DELTA > 0

x = (9^(1/2)+9)/(1*2) or x = (9-9^(1/2))/(1*2)

x = 6 or x = 3

4*(x-3)*(x-6) = 0

(4*(x-3)*(x-6))/4 = 0

(4*(x-3)*(x-6))/4 = 0 // * 4

4*(x-3)*(x-6) = 0

( x-3 )

x-3 = 0 // + 3

x = 3

( x-6 )

x-6 = 0 // + 6

x = 6

x in { 3, 6 }