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What are the roots of the equation y=x squared +x-42

Sagot :

y = x² + x - 42
x² + x - 42
x = -1 +/- √(1² - 4(1)(-42))
                   2(1)
x = -1 +/- √(1 + 168)
                 2
x = -1 +/- √169
               2
x = -1 +/- 13
             2
x = -1 + 13        x = -1 - 13
            2                      2
x = 10                x = -14
       2                          2
x = 5                  x = -7
-----------------------------------------------------------------------------------------------
y = x² + x - 42                      y = x² + x - 42
y = (5)² + 5 - 42                    y = (-7)² + 5 - 42
y = 25 + 5 - 42                     y = 49 + 5 - 42
y = 30 - 42                           y = 54 - 42
y = -12                                 y = 12
(x, y) = (5, -12)                     y = (-7, 12)