gesc693 gesc693
  • 13-05-2015
  • Mathematics
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What are the possible values of x in -11x^2 + 2x = 10?

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Panoyin
Panoyin Panoyin
  • 14-05-2015
        -11x² + 2x = 10
-11x² + 2x - 10 = 10 - 10
-11x² + 2x - 10 = 0
x = -(2) +/- √((2)² - 4(-11)(-10))
                     2(-11)
x = -2 +/- √(4 - 440)
               -22
x = -2 +/- √(-436)
             -22
x = -2 +/- 2i√(109)
              -22
x = -2 + 2i√(109)        x = -2 - 2i√(109)
             -22                            -22
x = ¹/₁₁ - ¹/₁₁i√(109)    x = ¹/₁₁ + ¹/₁₁i√(109)
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