(x-3/4)2=25/16

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Solution for (x-3/4)2=25/16 equation: 


x in (-oo:+oo)

(x-(3/4))^2 = 25/16 // - 25/16

(x-(3/4))^2-(25/16) = 0

(x-3/4)^2-25/16 = 0

(16*(x-3/4)^2)/16-25/16 = 0

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

16*x^2-24*x-16 = 0

16*x^2-24*x-16 = 0

8*(2*x^2-3*x-2) = 0

2*x^2-3*x-2 = 0

DELTA = (-3)^2-(-2*2*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+3)/(2*2) or x = (3-25^(1/2))/(2*2)

x = 2 or x = -1/2

8*(x+1/2)*(x-2) = 0

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

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

8*(x+1/2)*(x-2) = 0

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -1/2, 2 }

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