SOLUTION: Use the quadratic formula to solve each of the following quadratic equations. {{{3x^2-2x+1=0}}} My answer to this equation was:x={{{1/3+(2sqrt(2)/3)*i}}},x={{{1/3-(2sqrt(2)/3)*

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Use the quadratic formula to solve each of the following quadratic equations. {{{3x^2-2x+1=0}}} My answer to this equation was:x={{{1/3+(2sqrt(2)/3)*i}}},x={{{1/3-(2sqrt(2)/3)*      Log On


   

Question 75086This question is from textbook Beginning Algebra
: Use the quadratic formula to solve each of the following quadratic equations.
3x%5E2-2x%2B1=0
My answer to this equation was:x=1%2F3%2B%282sqrt%282%29%2F3%29%2Ai,x=1%2F3-%282sqrt%282%29%2F3%29%2Ai. Is this correct? Thanks for your time. This question is from textbook Beginning Algebra

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

Use the quadratic formula to solve each 
of the following quadratic equations.
3x%5E2-2x%2B1=0

My answer to this equation was:
x=1%2F3%2B%282sqrt%282%29%2F3%29%2Ai,x=1%2F3-%282sqrt%282%29%2F3%29%2Ai.
Is this correct? Thanks for your time. 

'Fraid it isn't. You've got an extra 
"2" factor before the radical.  Let's 
go through it:

The quadratic formula is:
                  ______ 
            -b ± Öb²-4ac
        x = —————————————
                2a 

where a = 3; b = -2; c = 1

                      _____________ 
             -(-2) ± Ö(-2)²-4(3)(1)
        x = ————————————————————————
                     2(3) 
                  ____ 
             2 ± Ö4-12
        x = ————————————
                 6

                  __ 
             2 ± Ö-8
        x = —————————
                6

                   _ 
             2 ± iÖ8
        x = —————————
                6

                   ___
             2 ± iÖ4·2
        x = ———————————
                 6

                     _
             2    2iÖ2
        x = ——— ± —————
             6      6


                     _
             1     iÖ2
        x = ——— ± —————
             3      3


                   _
             1    Ö2
        x = ——— ± ———·i
             3     3


Edwin