X^2-x-6/-4x^2-28x-24

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Solution for X^2-x-6/-4x^2-28x-24 equation: 


x in (-oo:+oo)

t_1 = X^2-24

t_1+3/2*x^2-x-28*x = 0

t_1+3/2*x^2-29*x = 0

DELTA = (-29)^2-(3/2*4*t_1)

DELTA = 841-6*t_1

841-6*t_1 = 0

841-6*t_1 = 0 // - 841

-6*t_1 = -841 // : -6

t_1 = -841/(-6)

t_1 = 841/6

DELTA = 0  <=>  t_2 = 841/6

x = 29/(3/2*2) i t_1 = 841/6

x = 29/3 i t_1 = 841/6

( x = ((841-6*t_1)^(1/2)+29)/(3/2*2) or x = (29-(841-6*t_1)^(1/2))/(3/2*2) ) i t_1 > 841/6

( x = ((841-6*t_1)^(1/2)+29)/3 or x = (29-(841-6*t_1)^(1/2))/3 ) i t_1 > 841/6

t_1-841/6 > 0

t_1-841/6 > 0 // + 841/6

t_1 > 841/6

x in { 29/3, ((841-6*(X^2-24))^(1/2)+29)/3, (29-(841-6*(X^2-24))^(1/2))/3 }

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