x^4/9-6x^2/9-7=0

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Solution for x^4/9-6x^2/9-7=0 equation: 


x in (-oo:+oo)

(x^4)/9-((6*x^2)/9)-7 = 0

(x^4)/9+(-2/3)*x^2-7 = 0

1/9*x^4-2/3*x^2-7 = 0

t_1 = x^2

1/9*t_1^2-2/3*t_1^1-7 = 0

1/9*t_1^2-2/3*t_1-7 = 0

DELTA = (-2/3)^2-(-7*1/9*4)

DELTA = 32/9

DELTA > 0

t_1 = ((32/9)^(1/2)+2/3)/(1/9*2) or t_1 = (2/3-(32/9)^(1/2))/(1/9*2)

t_1 = 9/2*((32/9)^(1/2)+2/3) or t_1 = 9/2*(2/3-(32/9)^(1/2))

t_1 = 9/2*(2/3-(32/9)^(1/2))

x^2-(9/2*(2/3-(32/9)^(1/2))) = 0

x^2-9/2*(2/3-(32/9)^(1/2)) = 0

1*x^2 = -(-9/2*(2/3-(32/9)^(1/2))) // : 1

x^2 = 9/2*(2/3-(32/9)^(1/2))

t_1 = 9/2*((32/9)^(1/2)+2/3)

x^2-(9/2*((32/9)^(1/2)+2/3)) = 0

x^2-9/2*((32/9)^(1/2)+2/3) = 0

1*x^2 = -(-9/2*((32/9)^(1/2)+2/3)) // : 1

x^2 = 9/2*((32/9)^(1/2)+2/3)

x^2 = 9/2*((32/9)^(1/2)+2/3) // ^ 1/2

abs(x) = (9/2)^(1/2)*((32/9)^(1/2)+2/3)^(1/2)

x = (9/2)^(1/2)*((32/9)^(1/2)+2/3)^(1/2) or x = -((9/2)^(1/2)*((32/9)^(1/2)+2/3)^(1/2))

x in { (9/2)^(1/2)*((32/9)^(1/2)+2/3)^(1/2), -((9/2)^(1/2)*((32/9)^(1/2)+2/3)^(1/2)) }

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