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

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Solution for 2x^2-1/7=x/2 equation: 


x in (-oo:+oo)

2*x^2-(1/7) = x/2 // - x/2

2*x^2-(x/2)-(1/7) = 0

2*x^2-(x/2)-1/7 = 0

2*x^2-1/2*x-1/7 = 0

DELTA = (-1/2)^2-(-1/7*2*4)

DELTA = 39/28

DELTA > 0

x = ((39/28)^(1/2)+1/2)/(2*2) or x = (1/2-(39/28)^(1/2))/(2*2)

x = ((39/28)^(1/2)+1/2)/4 or x = (1/2-(39/28)^(1/2))/4

x in { (1/2-(39/28)^(1/2))/4, ((39/28)^(1/2)+1/2)/4 }

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