52-20/3x4+9x2

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Solution for 52-20/3x4+9x2 equation: 


x in (-oo:+oo)

9*x^2-((20/3)*x^4)+52 = 0

(-20/3)*x^4+9*x^2+52 = 0

9*x^2-20/3*x^4+52 = 0

t_1 = x^2

9*t_1^1-20/3*t_1^2+52 = 0

9*t_1-20/3*t_1^2+52 = 0

DELTA = 9^2-(-20/3*4*52)

DELTA = 4403/3

DELTA > 0

t_1 = ((4403/3)^(1/2)-9)/(-20/3*2) or t_1 = (-(4403/3)^(1/2)-9)/(-20/3*2)

t_1 = -3/40*((4403/3)^(1/2)-9) or t_1 = 3/40*((4403/3)^(1/2)+9)

t_1 = -3/40*((4403/3)^(1/2)-9)

x^2-(-3/40*((4403/3)^(1/2)-9)) = 0

x^2+3/40*((4403/3)^(1/2)-9) = 0

1*x^2 = -(3/40*((4403/3)^(1/2)-9)) // : 1

x^2 = -3/40*((4403/3)^(1/2)-9)

t_1 = 3/40*((4403/3)^(1/2)+9)

x^2-(3/40*((4403/3)^(1/2)+9)) = 0

x^2-3/40*((4403/3)^(1/2)+9) = 0

1*x^2 = -(-3/40*((4403/3)^(1/2)+9)) // : 1

x^2 = 3/40*((4403/3)^(1/2)+9)

x^2 = 3/40*((4403/3)^(1/2)+9) // ^ 1/2

abs(x) = (3/40)^(1/2)*((4403/3)^(1/2)+9)^(1/2)

x = (3/40)^(1/2)*((4403/3)^(1/2)+9)^(1/2) or x = -((3/40)^(1/2)*((4403/3)^(1/2)+9)^(1/2))

x in { (3/40)^(1/2)*((4403/3)^(1/2)+9)^(1/2), -((3/40)^(1/2)*((4403/3)^(1/2)+9)^(1/2)) }

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