9/16-(2x-1)^2=0

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Solution for 9/16-(2x-1)^2=0 equation: 


x in (-oo:+oo)

9/16-(2*x-1)^2 = 0

9/16-1*(2*x-1)^2 = 0

(-1*16*(2*x-1)^2)/16+9/16 = 0

9-1*16*(2*x-1)^2 = 0

64*x-64*x^2-7 = 0

64*x-64*x^2-7 = 0

64*x-64*x^2-7 = 0

DELTA = 64^2-(-64*(-7)*4)

DELTA = 2304

DELTA > 0

x = (2304^(1/2)-64)/(-64*2) or x = (-2304^(1/2)-64)/(-64*2)

x = 1/8 or x = 7/8

(x-1/8)*(x-7/8) = 0

((x-1/8)*(x-7/8))/16 = 0

((x-1/8)*(x-7/8))/16 = 0 // * 16

(x-1/8)*(x-7/8) = 0

( x-1/8 )

x-1/8 = 0 // + 1/8

x = 1/8

( x-7/8 )

x-7/8 = 0 // + 7/8

x = 7/8

x in { 1/8, 7/8 }

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