x^2-2/3x-26/9=o

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Solution for x^2-2/3x-26/9=o equation:


x in (-oo:+oo)

x^2-((2/3)*x)-(26/9) = o // - o

x^2-o-((2/3)*x)-(26/9) = 0

x^2-o+(-2/3)*x-26/9 = 0

x^2-o-2/3*x-26/9 = 0

DELTA = (-2/3)^2-(1*4*(-o-26/9))

DELTA = 4*(o+26/9)+4/9

4*(o+26/9)+4/9 = 0

(4*9*(o+26/9))/9+4/9 = 0

4*9*(o+26/9)+4 = 0

36*o+108 = 0

(36*o+108)/9 = 0

(36*o+108)/9 = 0 // * 9

36*o+108 = 0

36*o+108 = 0 // - 108

36*o = -108 // : 36

o = -108/36

o = -3

DELTA = 0 <=> t_1 = -3

x = 2/3/(1*2) i o = -3

x = 1/3 i o = -3

( x = ((4*(o+26/9)+4/9)^(1/2)+2/3)/(1*2) or x = (2/3-(4*(o+26/9)+4/9)^(1/2))/(1*2) ) i o > -3

( x = ((4*(o+26/9)+4/9)^(1/2)+2/3)/2 or x = (2/3-(4*(o+26/9)+4/9)^(1/2))/2 ) i o > -3

o+3 > 0

o+3 > 0 // - 3

o > -3

x in { 1/3, ((4*(o+26/9)+4/9)^(1/2)+2/3)/2, (2/3-(4*(o+26/9)+4/9)^(1/2))/2 }

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