1/2x^2-2/7=5/14x

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Solution for 1/2x^2-2/7=5/14x equation:


x in (-oo:+oo)

(1/2)*x^2-(2/7) = (5/14)*x // - (5/14)*x

(1/2)*x^2-((5/14)*x)-(2/7) = 0

(1/2)*x^2+(-5/14)*x-2/7 = 0

1/2*x^2-5/14*x-2/7 = 0

DELTA = (-5/14)^2-(-2/7*1/2*4)

DELTA = 137/196

DELTA > 0

x = ((137/196)^(1/2)+5/14)/(1/2*2) or x = (5/14-(137/196)^(1/2))/(1/2*2)

x = (137/196)^(1/2)+5/14 or x = 5/14-(137/196)^(1/2)

x in { 5/14-(137/196)^(1/2), (137/196)^(1/2)+5/14 }

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