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

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


w in (-oo:+oo)

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

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

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

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

11*w^2-77*w-20+135/4 = 0

11*w^2-77*w+55/4 = 0

11*w^2-77*w+55/4 = 0

11*(w^2-7*w+5/4) = 0

w^2-7*w+5/4 = 0

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

DELTA = 44

DELTA > 0

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

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

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

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

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

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

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

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

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

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

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

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