X^2=(490,5-3/7X)^2

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Solution for X^2=(490,5-3/7X)^2 equation: 


X in (-oo:+oo)

X^2 = (490.5-((3/7)*X))^2 // - (490.5-((3/7)*X))^2

X^2-(490.5-((3/7)*X))^2 = 0

X^2-((-3/7)*X+490.5)^2 = 0

X^2-1*(490.5-3/7*X)^2 = 0

X^2-1*(490.5-3/7*X)^2 = 0

40/49*X^2+420.42857283*X-240590.25 = 0

40/49*X^2+420.42857283*X-240590.25 = 0

40/49*X^2+420.42857283*X-240590.25 = 0

DELTA = 420.42857283^2-(-240590.25*40/49*4)

DELTA = 420.42857283^2+785600.81573733

DELTA = 962361.0005892

DELTA > 0

X = ((420.42857283^2+785600.81573733)^(1/2)-420.42857283)/(40/49*2) or X = (-(420.42857283^2+785600.81573733)^(1/2)-420.42857283)/(40/49*2)

X = 49/80*((420.42857283^2+785600.81573733)^(1/2)-420.42857283) or X = -49/80*((420.42857283^2+785600.81573733)^(1/2)+420.42857283)

(X+49/80*((420.42857283^2+785600.81573733)^(1/2)+420.42857283))*(X-49/80*((420.42857283^2+785600.81573733)^(1/2)-420.42857283)) = 0

(X+49/80*((420.42857283^2+785600.81573733)^(1/2)+420.42857283))*(X-49/80*((420.42857283^2+785600.81573733)^(1/2)-420.42857283)) = 0

( X+49/80*((420.42857283^2+785600.81573733)^(1/2)+420.42857283) )

X+49/80*((420.42857283^2+785600.81573733)^(1/2)+420.42857283) = 0 // - 49/80*((420.42857283^2+785600.81573733)^(1/2)+420.42857283)

X = -(49/80*((420.42857283^2+785600.81573733)^(1/2)+420.42857283))

X = -49/80*((420.42857283^2+785600.81573733)^(1/2)+420.42857283)

( X-49/80*((420.42857283^2+785600.81573733)^(1/2)-420.42857283) )

X-49/80*((420.42857283^2+785600.81573733)^(1/2)-420.42857283) = 0 // + -49/80*((420.42857283^2+785600.81573733)^(1/2)-420.42857283)

X = -(-49/80*((420.42857283^2+785600.81573733)^(1/2)-420.42857283))

X = 49/80*((420.42857283^2+785600.81573733)^(1/2)-420.42857283)

X in { -49/80*((420.42857283^2+785600.81573733)^(1/2)+420.42857283), 49/80*((420.42857283^2+785600.81573733)^(1/2)-420.42857283) }

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