(6y-5)/2y=7/9

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Solution for (6y-5)/2y=7/9 equation:


y in (-oo:+oo)

y*((6*y-5)/2) = 7/9 // - 7/9

y*((6*y-5)/2)-(7/9) = 0

y*((6*y-5)/2)-7/9 = 0

(y*(6*y-5))/2-7/9 = 0

(9*y*(6*y-5))/(2*9)+(-7*2)/(2*9) = 0

9*y*(6*y-5)-7*2 = 0

54*y^2-45*y-14 = 0

54*y^2-45*y-14 = 0

54*y^2-45*y-14 = 0

DELTA = (-45)^2-(-14*4*54)

DELTA = 5049

DELTA > 0

y = (5049^(1/2)+45)/(2*54) or y = (45-5049^(1/2))/(2*54)

y = (3*561^(1/2)+45)/108 or y = (45-3*561^(1/2))/108

(y-((45-3*561^(1/2))/108))*(y-((3*561^(1/2)+45)/108)) = 0

((y-((45-3*561^(1/2))/108))*(y-((3*561^(1/2)+45)/108)))/(2*9) = 0

((y-((45-3*561^(1/2))/108))*(y-((3*561^(1/2)+45)/108)))/(2*9) = 0 // * 2*9

(y-((45-3*561^(1/2))/108))*(y-((3*561^(1/2)+45)/108)) = 0

( y-((3*561^(1/2)+45)/108) )

y-((3*561^(1/2)+45)/108) = 0 // + (3*561^(1/2)+45)/108

y = (3*561^(1/2)+45)/108

( y-((45-3*561^(1/2))/108) )

y-((45-3*561^(1/2))/108) = 0 // + (45-3*561^(1/2))/108

y = (45-3*561^(1/2))/108

y in { (3*561^(1/2)+45)/108, (45-3*561^(1/2))/108 }

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