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What is the solution of the following inequality?
3x^2−8x>11


Sagot :

3x² - 8x > 11
3x² - 8x - 11 > 11 - 11
3x² - 8x - 11 > 0
x > -(-8) +/- √((-8)² - 4(3)(-11))
                        2(3)
x > 8 +/- √(64 + 132)
                   6
x > 8 +/- √(196)
              6
x > 8 +/- 14
            6
x > 8 + 14       x > 8 - 14
          6                     6
x > 20             x > -6
       6                     6
x > 3.33          x > -1