Explicación paso a paso:
[tex]10000 = 10 {m}^{2} - 100m - 2000 \\ 1000 = {m}^{2} - 10m - 200 \\ {m}^{2} - 10m - 200 - 1000 = 0 \\ {m}^{2} - 10m - 1200 = 0 \\ x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{ - ( - 10) + \sqrt{( { - 1 0)}^{2} - 4(1)( - 1200) } }{2(1)} \\ x = \frac{10 + - \sqrt{100 + 4800} }{2} \\ x = \frac{10 + - \sqrt{4900} }{2} \\ x = \frac{10 + \sqrt{4900} }{2} \\ x = \frac{10 + 70}{2} = \frac{80}{2} = 40[/tex]
