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Following completion of your weekly readings, complete Projects #1 and 2 at the end of Chapter 7 in your textbook, Mathematics in Our World. 4x² - 4x +3=0?

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Oddman answered
Your equation has complex solutions. They can be found by "completing the square" or by using the quadratic formula.
  4x^2 - 4x + 3 = 0
  4x^2 - 4x = -3    (removing the constant from the left side can make it easier to see how to complete the square)
  4x^2 - 4x + 1 = -2    (add (b^2)/(4a) to make ax^2 + bx into a perfect square)
  (2x - 1)^2 = -2    (rewrite as a square)
  2x - 1 = ±√(-2) = ±I√2    (take the square root of both sides)
  2x = 1 ± I√2    (add 1)
  x = (1 ± I√2)/2    (divide by 2)

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