# SOLUTION: Find the roots of the equadratic equations by the method of completing the square. Express the roots, if they are not rational, in simplest radical form. 3x2 - 2x - 5 = 0

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Find the roots of the equadratic equations by the method of completing the square. Express the roots, if they are not rational, in simplest radical form. 3x2 - 2x - 5 = 0      Log On

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 Question 44286: Find the roots of the equadratic equations by the method of completing the square. Express the roots, if they are not rational, in simplest radical form. 3x2 - 2x - 5 = 0Answer by fractalier(2101)   (Show Source): You can put this solution on YOUR website!From 3x^2 - 2x - 5 = 0 divide by 3 first and get x^2 - (2/3)x - 5/3 = 0 Now half of 2/3 squared is 1/9, so x^2 - (2/3)x + 1/9 - 5/3 = 0 + 1/9 x^2 - (2/3)x + 1/9 = 5/3 + 1/9 = 15/9 + 1/9 (x - (1/3))^2 = 16/9 Now take the square root of both sides x - (1/3) = ± 4/3 x = 1/3 ± 4/3 so that x = 5/3 or -1