(7x-125/14)^2-103825/196

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Solution for (7x-125/14)^2-103825/196 equation: 


x in (-oo:+oo)

(7*x-(125/14))^2-(103825/196) = 0

(7*x-125/14)^2-103825/196 = 0

(196*(7*x-125/14)^2)/196-103825/196 = 0

196*(7*x-125/14)^2-103825 = 0

9604*x^2-24500*x-88200 = 0

9604*x^2-24500*x-88200 = 0

196*(49*x^2-125*x-450) = 0

49*x^2-125*x-450 = 0

DELTA = (-125)^2-(-450*4*49)

DELTA = 103825

DELTA > 0

x = (103825^(1/2)+125)/(2*49) or x = (125-103825^(1/2))/(2*49)

x = (5*4153^(1/2)+125)/98 or x = (125-5*4153^(1/2))/98

196*(x-((125-5*4153^(1/2))/98))*(x-((5*4153^(1/2)+125)/98)) = 0

(196*(x-((125-5*4153^(1/2))/98))*(x-((5*4153^(1/2)+125)/98)))/196 = 0

(196*(x-((125-5*4153^(1/2))/98))*(x-((5*4153^(1/2)+125)/98)))/196 = 0 // * 196

196*(x-((125-5*4153^(1/2))/98))*(x-((5*4153^(1/2)+125)/98)) = 0

( x-((125-5*4153^(1/2))/98) )

x-((125-5*4153^(1/2))/98) = 0 // + (125-5*4153^(1/2))/98

x = (125-5*4153^(1/2))/98

( x-((5*4153^(1/2)+125)/98) )

x-((5*4153^(1/2)+125)/98) = 0 // + (5*4153^(1/2)+125)/98

x = (5*4153^(1/2)+125)/98

x in { (125-5*4153^(1/2))/98, (5*4153^(1/2)+125)/98 }

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