x^2+5/2x+25/16=17/16

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Solution for x^2+5/2x+25/16=17/16 equation:


x in (-oo:+oo)

x^2+(5/2)*x+25/16 = 17/16 // - 17/16

x^2+(5/2)*x+25/16-(17/16) = 0

x^2+(5/2)*x+25/16-17/16 = 0

x^2+5/2*x+1/2 = 0

DELTA = (5/2)^2-(1/2*1*4)

DELTA = 17/4

DELTA > 0

x = ((17/4)^(1/2)-5/2)/(1*2) or x = (-(17/4)^(1/2)-5/2)/(1*2)

x = ((17/4)^(1/2)-5/2)/2 or x = (-((17/4)^(1/2)+5/2))/2

x in { (-((17/4)^(1/2)+5/2))/2, ((17/4)^(1/2)-5/2)/2 }

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