(x-0.75)^2=23/16

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Solution for (x-0.75)^2=23/16 equation: 


x in (-oo:+oo)

(x-0.75)^2 = 23/16 // - 23/16

(x-0.75)^2-(23/16) = 0

(x-0.75)^2-23/16 = 0

(16*(x-0.75)^2)/16-23/16 = 0

16*(x-0.75)^2-23 = 0

16*x^2-24*x-14 = 0

16*x^2-24*x-14 = 0

2*(8*x^2-12*x-7) = 0

8*x^2-12*x-7 = 0

DELTA = (-12)^2-(-7*4*8)

DELTA = 368

DELTA > 0

x = (368^(1/2)+12)/(2*8) or x = (12-368^(1/2))/(2*8)

x = (4*23^(1/2)+12)/16 or x = (12-4*23^(1/2))/16

2*(x-((12-4*23^(1/2))/16))*(x-((4*23^(1/2)+12)/16)) = 0

(2*(x-((12-4*23^(1/2))/16))*(x-((4*23^(1/2)+12)/16)))/16 = 0

(2*(x-((12-4*23^(1/2))/16))*(x-((4*23^(1/2)+12)/16)))/16 = 0 // * 16

2*(x-((12-4*23^(1/2))/16))*(x-((4*23^(1/2)+12)/16)) = 0

( x-((12-4*23^(1/2))/16) )

x-((12-4*23^(1/2))/16) = 0 // + (12-4*23^(1/2))/16

x = (12-4*23^(1/2))/16

( x-((4*23^(1/2)+12)/16) )

x-((4*23^(1/2)+12)/16) = 0 // + (4*23^(1/2)+12)/16

x = (4*23^(1/2)+12)/16

x in { (12-4*23^(1/2))/16, (4*23^(1/2)+12)/16 }

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