using the quadratic formula
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1 Answer

Problem: how to solve m2 + 3m + 1=0
using the quadratic formula

Since you are calling for the quadratic formula,
the equation must be m^2 + 3m + 1 = 0

        -b ± sqrt(b^2 - 4*a*c)
x = -----------------------------
                2a

        -3 ± sqrt(3^2 - 4*1*1)
x = -----------------------------
                2(1)

        -3 ± sqrt(9 - 4)
x = --------------------
                2

       -3 ± sqrt(5)
x = ----------------
             2

       -3 ± 2.236
x = ---------------
             2

       -3 + 2.236                     -3 - 2.236
x = ---------------    and  x = ---------------
             2                                    2

       -0.764                   -5.236
x = ----------    and  x = ----------
           2                           2

x = -0.382   and  x = -2.618

 

by Level 11 User (78.4k points)

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