help solving 4x^2-12x+9=5

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29-02-2016
Mathematics

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help solving 4x^2-12x+9=5

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Panoyin Panoyin · Answer 1 · 2016-03-01T01:16:03+01:00

  4x² - 12x + 9 = 5
  - 5 - 5
4x² - 12x + 4 = 0
4(x²) - 4(3x) + 4(1) = 0
4(x² - 3x + 1) = 0
4 4
  x² - 3x + 1 = 0
x = -(-3) ± √((-3)² - 4(1)(1))
2(1)
x = 3 ± √(9 - 4)
2
x = 3 ± √(5)
2
x = 1.5 ± √(5)
x = 1.5 + √(5) or x = 1.5 - √(5)