x^2/3-5x^1/3=50

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Solution for x^2/3-5x^1/3=50 equation:


x in (-oo:+oo)

(x^2)/3-((5*x^1)/3) = 50 // - 50

(x^2)/3-((5*x^1)/3)-50 = 0

(x^2)/3+(-5/3)*x-50 = 0

1/3*x^2-5/3*x-50 = 0

DELTA = (-5/3)^2-(-50*1/3*4)

DELTA = 625/9

DELTA > 0

x = ((625/9)^(1/2)+5/3)/(1/3*2) or x = (5/3-(625/9)^(1/2))/(1/3*2)

x = 15 or x = -10

x in { -10, 15 }

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