+1463 The quadratic equation $x^2-mx+24 = 10$ has roots $x_1$ and $x_2$. If $x_1$ and $x_2$ are integers, how many different values of $m$ are possible?
+1257
The quadratic equation $x^2-mx+24 = 10$ has roots $x_1$ and $x_2$. If $x_1$ and $x_2$ are integers, how many different values of $m$ are possible?
x2 – mx + 24 = 10
x2 – mx + 14 = 0
the quadratic factors to (x – 1)(x – 14) —>> x2 – 15x + 14
or (x – 2)(x – 7) —>> x2 – 9x + 14
so, m could be 15 or 9 two possibilities
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