x2+x=19/4

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Solution for x2+x=19/4 equation: 


x in (-oo:+oo)

x^2+x = 19/4 // - 19/4

x^2+x-(19/4) = 0

x^2+x-19/4 = 0

x^2+x-19/4 = 0

DELTA = 1^2-(-19/4*1*4)

DELTA = 20

DELTA > 0

x = (20^(1/2)-1)/(1*2) or x = (-20^(1/2)-1)/(1*2)

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

x in { (-2*5^(1/2)-1)/2, (2*5^(1/2)-1)/2 }

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