Answer:
Step-by-step explanation:
[tex]T = \frac{1}{2}m^{2}+2m - 4\\\\T = 2m + 4\\\\\frac{1}{2}m^{2}+2m - 4 = 2m + 4\\\\\frac{1}{2}m^{2}+2m - 4 - 2m - 4 = 0[/tex]
Combine like terms
[tex]\frac{1}{2}m^{2}+2m - 2m - 4 - 4 = 0\\\\\frac{1}{2}m^{2} - 8 = 0\\\\\frac{1}{2}m^{2} =8\\\\m^{2} = 8*2\\\\m^{2} = 16\\\\m = \sqrt{16}[/tex]
m = ± 4
