X^2-121/3x^2-9x

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Solution for X^2-121/3x^2-9x equation:


x in (-oo:+oo)

t_1 = X^2

t_1-121/3*x^2-9*x = 0

t_1-121/3*x^2-9*x = 0

DELTA = (-9)^2-(-121/3*4*t_1)

DELTA = 484/3*t_1+81

484/3*t_1+81 = 0

484/3*t_1+81 = 0 // - 81

484/3*t_1 = -81 // : 484/3

t_1 = -81/484/3

t_1 = -243/484

DELTA = 0 <=> t_2 = -243/484

x = 9/(-121/3*2) i t_1 = -243/484

x = -27/242 i t_1 = -243/484

( x = ((484/3*t_1+81)^(1/2)+9)/(-121/3*2) or x = (9-(484/3*t_1+81)^(1/2))/(-121/3*2) ) i t_1 > -243/484

( x = -3/242*((484/3*t_1+81)^(1/2)+9) or x = -3/242*(9-(484/3*t_1+81)^(1/2)) ) i t_1 > -243/484

t_1+243/484 > 0

t_1+243/484 > 0 // - 243/484

t_1 > -243/484

x in { -27/242, -3/242*((484/3*X^2+81)^(1/2)+9), -3/242*(9-(484/3*X^2+81)^(1/2)) }

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