x^2+x+1=7/4

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Solution for x^2+x+1=7/4 equation: 


x in (-oo:+oo)

x^2+x+1 = 7/4 // - 7/4

x^2+x-(7/4)+1 = 0

x^2+x-7/4+1 = 0

x^2+x-3/4 = 0

DELTA = 1^2-(-3/4*1*4)

DELTA = 4

DELTA > 0

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

x = 1/2 or x = -3/2

x in { -3/2, 1/2 }

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