Answer: m = 7 or -2
Step-by-step explanation:
Quadratic Formula! [tex]\frac{{-b (+/-)\sqrt{(b^{2}-4ac }}}{2a}[/tex]
Polynomial Form: [tex]ax^{2} +bx+c[/tex]
So in this example a: 1 b: -5 c: -14
You get:[tex]\frac{{-(-5) (+/-)\sqrt{((-5)^{2}-4(1)(-14) }}}{2(1)}[/tex]
m = 7 or -2
Check by plugging a value back in for m
[tex](7)^{2} -5(7)-14=0?\\(-2)^{2} -5(-2)-14=0?\\[/tex]
True for both.
