x^2/3-7x^1/3=30

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Solution for x^2/3-7x^1/3=30 equation:


x in (-oo:+oo)

(x^2)/3-((7*x^1)/3) = 30 // - 30

(x^2)/3-((7*x^1)/3)-30 = 0

(x^2)/3+(-7/3)*x-30 = 0

1/3*x^2-7/3*x-30 = 0

DELTA = (-7/3)^2-(-30*1/3*4)

DELTA = 409/9

DELTA > 0

x = ((409/9)^(1/2)+7/3)/(1/3*2) or x = (7/3-(409/9)^(1/2))/(1/3*2)

x = 3/2*((409/9)^(1/2)+7/3) or x = 3/2*(7/3-(409/9)^(1/2))

x in { 3/2*(7/3-(409/9)^(1/2)), 3/2*((409/9)^(1/2)+7/3) }

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