(x-9/16)^2=9/4

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Solution for (x-9/16)^2=9/4 equation: 


x in (-oo:+oo)

(x-(9/16))^2 = 9/4 // - 9/4

(x-(9/16))^2-(9/4) = 0

(x-9/16)^2-9/4 = 0

(4*(x-9/16)^2)/4-9/4 = 0

4*(x-9/16)^2-9 = 0

4*x^2-9/2*x-495/64 = 0

4*x^2-9/2*x-495/64 = 0

4*x^2-9/2*x-495/64 = 0

DELTA = (-9/2)^2-(-495/64*4*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)+9/2)/(2*4) or x = (9/2-144^(1/2))/(2*4)

x = 33/16 or x = -15/16

(x+15/16)*(x-33/16) = 0

((x+15/16)*(x-33/16))/4 = 0

((x+15/16)*(x-33/16))/4 = 0 // * 4

(x+15/16)*(x-33/16) = 0

( x+15/16 )

x+15/16 = 0 // - 15/16

x = -15/16

( x-33/16 )

x-33/16 = 0 // + 33/16

x = 33/16

x in { -15/16, 33/16 }

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