# SOLUTION: Find the solutions of 3x2/3 + 8x1/3 - 3 = 0.(eg.3 with u = x 1/3) College Algebra ISBN-13: 978-0-618-77629-0 Thanks

Algebra ->  Algebra  -> Inequalities -> SOLUTION: Find the solutions of 3x2/3 + 8x1/3 - 3 = 0.(eg.3 with u = x 1/3) College Algebra ISBN-13: 978-0-618-77629-0 Thanks      Log On

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 Click here to see ALL problems on Inequalities Question 145561: Find the solutions of 3x2/3 + 8x1/3 - 3 = 0.(eg.3 with u = x 1/3) College Algebra ISBN-13: 978-0-618-77629-0 ThanksAnswer by stanbon(57258)   (Show Source): You can put this solution on YOUR website!Find the solutions of 3x2/3 + 8x1/3 - 3 = 0 ---------- You have a quadratic with variable x^(1/3). ------------------------- Let x^1/3 = w Substitute to get: 3w^2 + 8w - 3 = 0 Use the AC Method or "Reverse Foil" to factor the left side: ------------ 3w^2+9w-w-3 = 0 3w(w+3)-(w+3) = 0 (w+3)(3w-1) = 0 w = -3 or w = 1/3 ------------ Substitute to get: x^(1/3) = -3 or x^(1/3) = 1/3 x = (-3)^3 or x = (1/3)^3 x = -27 or x = 1/27 ======================== Cheers, Stan H.