x^2-9/2x=1

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Solution for x^2-9/2x=1 equation: 


x in (-oo:+oo)

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

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

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

x^2-9/2*x-1 = 0

DELTA = (-9/2)^2-(-1*1*4)

DELTA = 97/4

DELTA > 0

x = ((97/4)^(1/2)+9/2)/(1*2) or x = (9/2-(97/4)^(1/2))/(1*2)

x = ((97/4)^(1/2)+9/2)/2 or x = (9/2-(97/4)^(1/2))/2

x in { (9/2-(97/4)^(1/2))/2, ((97/4)^(1/2)+9/2)/2 }

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