(y+1)/2y=6/7

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Solution for (y+1)/2y=6/7 equation:


y in (-oo:+oo)

y*((y+1)/2) = 6/7 // - 6/7

y*((y+1)/2)-(6/7) = 0

y*((y+1)/2)-6/7 = 0

(y*(y+1))/2-6/7 = 0

(7*y*(y+1))/(2*7)+(-6*2)/(2*7) = 0

7*y*(y+1)-6*2 = 0

7*y^2+7*y-12 = 0

7*y^2+7*y-12 = 0

7*y^2+7*y-12 = 0

DELTA = 7^2-(-12*4*7)

DELTA = 385

DELTA > 0

y = (385^(1/2)-7)/(2*7) or y = (-385^(1/2)-7)/(2*7)

y = (385^(1/2)-7)/14 or y = (-(385^(1/2)+7))/14

(y+(385^(1/2)+7)/14)*(y-((385^(1/2)-7)/14)) = 0

((y+(385^(1/2)+7)/14)*(y-((385^(1/2)-7)/14)))/(2*7) = 0

((y+(385^(1/2)+7)/14)*(y-((385^(1/2)-7)/14)))/(2*7) = 0 // * 2*7

(y+(385^(1/2)+7)/14)*(y-((385^(1/2)-7)/14)) = 0

( y+(385^(1/2)+7)/14 )

y+(385^(1/2)+7)/14 = 0 // - (385^(1/2)+7)/14

y = -((385^(1/2)+7)/14)

( y-((385^(1/2)-7)/14) )

y-((385^(1/2)-7)/14) = 0 // + (385^(1/2)-7)/14

y = (385^(1/2)-7)/14

y in { -((385^(1/2)+7)/14), (385^(1/2)-7)/14 }

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