x^2-x=21/4

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Solution for x^2-x=21/4 equation:


x in (-oo:+oo)

x^2-x = 21/4 // - 21/4

x^2-x-(21/4) = 0

x^2-x-21/4 = 0

x^2-x-21/4 = 0

DELTA = (-1)^2-(-21/4*1*4)

DELTA = 22

DELTA > 0

x = (22^(1/2)+1)/(1*2) or x = (1-22^(1/2))/(1*2)

x = (22^(1/2)+1)/2 or x = (1-22^(1/2))/2

x in { (1-22^(1/2))/2, (22^(1/2)+1)/2 }

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