X2+6x-7/6-6x2

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Solution for X2+6x-7/6-6x2 equation: 


x in (-oo:+oo)

t_1 = X^2-7/6

t_1-6*x^2+6*x = 0

t_1-6*x^2+6*x = 0

DELTA = 6^2-(-6*4*t_1)

DELTA = 24*t_1+36

24*t_1+36 = 0

24*t_1+36 = 0 // - 36

24*t_1 = -36 // : 24

t_1 = -36/24

t_1 = -3/2

DELTA = 0  <=>  t_2 = -3/2

x = -6/(-6*2) i t_1 = -3/2

x = 1/2 i t_1 = -3/2

( x = ((24*t_1+36)^(1/2)-6)/(-6*2) or x = (-(24*t_1+36)^(1/2)-6)/(-6*2) ) i t_1 > -3/2

( x = ((24*t_1+36)^(1/2)-6)/(-12) or x = ((24*t_1+36)^(1/2)+6)/12 ) i t_1 > -3/2

t_1+3/2 > 0

t_1+3/2 > 0 // - 3/2

t_1 > -3/2

x in { 1/2, ((24*(X^2-7/6)+36)^(1/2)-6)/(-12), ((24*(X^2-7/6)+36)^(1/2)+6)/12 }

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