(w-2/3)^2=7/4

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Solution for (w-2/3)^2=7/4 equation: 


w in (-oo:+oo)

(w-(2/3))^2 = 7/4 // - 7/4

(w-(2/3))^2-(7/4) = 0

(w-2/3)^2-7/4 = 0

(4*(w-2/3)^2)/4-7/4 = 0

4*(w-2/3)^2-7 = 0

4*w^2-16/3*w-47/9 = 0

4*w^2-16/3*w-47/9 = 0

4*w^2-16/3*w-47/9 = 0

DELTA = (-16/3)^2-(-47/9*4*4)

DELTA = 112

DELTA > 0

w = (112^(1/2)+16/3)/(2*4) or w = (16/3-112^(1/2))/(2*4)

w = (4*7^(1/2)+16/3)/8 or w = (16/3-4*7^(1/2))/8

(w-((16/3-4*7^(1/2))/8))*(w-((4*7^(1/2)+16/3)/8)) = 0

((w-((16/3-4*7^(1/2))/8))*(w-((4*7^(1/2)+16/3)/8)))/4 = 0

((w-((16/3-4*7^(1/2))/8))*(w-((4*7^(1/2)+16/3)/8)))/4 = 0 // * 4

(w-((16/3-4*7^(1/2))/8))*(w-((4*7^(1/2)+16/3)/8)) = 0

( w-((16/3-4*7^(1/2))/8) )

w-((16/3-4*7^(1/2))/8) = 0 // + (16/3-4*7^(1/2))/8

w = (16/3-4*7^(1/2))/8

( w-((4*7^(1/2)+16/3)/8) )

w-((4*7^(1/2)+16/3)/8) = 0 // + (4*7^(1/2)+16/3)/8

w = (4*7^(1/2)+16/3)/8

w in { (16/3-4*7^(1/2))/8, (4*7^(1/2)+16/3)/8 }

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