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*2)/2+(-20*2)/2 = 0

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

11*w^2-154*w-40+337 = 0

11*w^2-154*w+297 = 0

11*w^2-154*w+297 = 0

11*(w^2-14*w+27) = 0

w^2-14*w+27 = 0

DELTA = (-14)^2-(1*4*27)

DELTA = 88

DELTA > 0

w = (88^(1/2)+14)/(1*2) or w = (14-88^(1/2))/(1*2)

w = (2*22^(1/2)+14)/2 or w = (14-2*22^(1/2))/2

11*(w-((14-2*22^(1/2))/2))*(w-((2*22^(1/2)+14)/2)) = 0

(11*(w-((14-2*22^(1/2))/2))*(w-((2*22^(1/2)+14)/2)))/2 = 0

(11*(w-((14-2*22^(1/2))/2))*(w-((2*22^(1/2)+14)/2)))/2 = 0 // * 2

11*(w-((14-2*22^(1/2))/2))*(w-((2*22^(1/2)+14)/2)) = 0

( w-((14-2*22^(1/2))/2) )

w-((14-2*22^(1/2))/2) = 0 // + (14-2*22^(1/2))/2

w = (14-2*22^(1/2))/2

( w-((2*22^(1/2)+14)/2) )

w-((2*22^(1/2)+14)/2) = 0 // + (2*22^(1/2)+14)/2

w = (2*22^(1/2)+14)/2

w in { (14-2*22^(1/2))/2, (2*22^(1/2)+14)/2 }

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