(9y-15)2/3=14

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Solution for (9y-15)2/3=14 equation:


y in (-oo:+oo)

((9*y-15)^2)/3 = 14 // - 14

((9*y-15)^2)/3-14 = 0

((9*y-15)^2)/3+(-14*3)/3 = 0

(9*y-15)^2-14*3 = 0

81*y^2-270*y+183 = 0

81*y^2-270*y+183 = 0

3*(27*y^2-90*y+61) = 0

27*y^2-90*y+61 = 0

DELTA = (-90)^2-(4*27*61)

DELTA = 1512

DELTA > 0

y = (1512^(1/2)+90)/(2*27) or y = (90-1512^(1/2))/(2*27)

y = (6*42^(1/2)+90)/54 or y = (90-6*42^(1/2))/54

3*(y-((90-6*42^(1/2))/54))*(y-((6*42^(1/2)+90)/54)) = 0

(3*(y-((90-6*42^(1/2))/54))*(y-((6*42^(1/2)+90)/54)))/3 = 0

(3*(y-((90-6*42^(1/2))/54))*(y-((6*42^(1/2)+90)/54)))/3 = 0 // * 3

3*(y-((90-6*42^(1/2))/54))*(y-((6*42^(1/2)+90)/54)) = 0

( y-((6*42^(1/2)+90)/54) )

y-((6*42^(1/2)+90)/54) = 0 // + (6*42^(1/2)+90)/54

y = (6*42^(1/2)+90)/54

( y-((90-6*42^(1/2))/54) )

y-((90-6*42^(1/2))/54) = 0 // + (90-6*42^(1/2))/54

y = (90-6*42^(1/2))/54

y in { (6*42^(1/2)+90)/54, (90-6*42^(1/2))/54 }

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