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What is the x intercept of the graph of the equation
y=x•x-11x+24


Sagot :

y = x² - 11x + 24
0 = x² - 11x + 24
x = -(-11) +/- √((-11) - 4(1)(24))
                       2(1)
x = 11 +/- √(121 - 96)
                    2
x = 11 +/- √(25)
              2
x = 11 +/- 5
            2
x = 11 + 5      x = 11 - 5
           2                   2
x = 16            x = 6
       2                   2
x = 8              x = 3

The x - intercept of the equation is equal to {8, 3}.