11(w-2/7)^2-20=101

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Solution for 11(w-2/7)^2-20=101 equation: 


w in (-oo:+oo)

11*(w-(2/7))^2-20 = 101 // - 101

11*(w-(2/7))^2-101-20 = 0

11*(w-2/7)^2-101-20 = 0

11*(w-2/7)^2-101-20 = 0

11*w^2-44/7*w-4905/49-20 = 0

11*w^2-44/7*w-5885/49 = 0

11*w^2-44/7*w-5885/49 = 0

11*(w^2-4/7*w-535/49) = 0

w^2-4/7*w-535/49 = 0

DELTA = (-4/7)^2-(-535/49*1*4)

DELTA = 44

DELTA > 0

w = (44^(1/2)+4/7)/(1*2) or w = (4/7-44^(1/2))/(1*2)

w = (2*11^(1/2)+4/7)/2 or w = (4/7-2*11^(1/2))/2

11*(w-((4/7-2*11^(1/2))/2))*(w-((2*11^(1/2)+4/7)/2)) = 0

11*(w-((4/7-2*11^(1/2))/2))*(w-((2*11^(1/2)+4/7)/2)) = 0

( w-((2*11^(1/2)+4/7)/2) )

w-((2*11^(1/2)+4/7)/2) = 0 // + (2*11^(1/2)+4/7)/2

w = (2*11^(1/2)+4/7)/2

( w-((4/7-2*11^(1/2))/2) )

w-((4/7-2*11^(1/2))/2) = 0 // + (4/7-2*11^(1/2))/2

w = (4/7-2*11^(1/2))/2

w in { (2*11^(1/2)+4/7)/2, (4/7-2*11^(1/2))/2 }

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