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math

Use the quadratic formula to solve 2x^2-6x+4=0
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Re: math

2x² - 6x + 4 = 0
2(x² - 3x + 2) = 0   ← factored 2 out
x² - 3x + 2 = 0   ← divided each side by 2

a = 1, b = -3, and c = 2

      -b ± √(b² - 4ac)
x = -------------------
              2a

      -(-3) ± √[(-3)² - 4(1)(2)]
x = -----------------------------
                   2(1)

       3 ± √(9 - 8)
x = ---------------
              2

      3 ± √1
x = --------
          2

       3 ± 1
x = --------
          2


x = 4/2  or  2/2

x = 2 or 1

- Proof