x^2-16x+9=49/4

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Solution for x^2-16x+9=49/4 equation: 


x in (-oo:+oo)

x^2-(16*x)+9 = 49/4 // - 49/4

x^2-(16*x)-(49/4)+9 = 0

x^2-16*x-49/4+9 = 0

x^2-16*x-13/4 = 0

DELTA = (-16)^2-(-13/4*1*4)

DELTA = 269

DELTA > 0

x = (269^(1/2)+16)/(1*2) or x = (16-269^(1/2))/(1*2)

x = (269^(1/2)+16)/2 or x = (16-269^(1/2))/2

x in { (16-269^(1/2))/2, (269^(1/2)+16)/2 }

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