Algebra

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Algebra

Please help me with this problem.  Thank you!
AlgebraHouse AlgebraHouse
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Re: Algebra

2x² - 6x = 4
x² - 3x = 2   {divided entire equation by 2, getting the coefficient of x² to be 1}
x² - 3x + (9/4) = 2 + (9/4)   {took half the coefficient of x, squared it, and added to both sides}
[x - (3/2)]² = 17/4   {factored left side into the square of a binomial, added on right side}
x - (3/2) = ±√(17/4)   {took square root of each side}

x - (3/2) = ±√17
                  ------   {evaluated square root of 4}
                      2

         3 ± √17
x =   -----------
  {added 3/2 to each side}
              2

- Algebra House