Answer:
[tex]\frac{5}{4}+or-\frac{3i\sqrt{7} }{4}[/tex]
Step-by-step explanation:
You can solve this equation with the quadratic formula which is:
[tex]m_{1,2}=\frac{-b+or-\sqrt{b^{2}-4ac } }{2a}[/tex]
All you need to do is rearrange the equation (add [tex]-\frac{11}{2}[/tex] to both sides and then multiply both sides by 2) to get:
[tex]2m^2-5m+11=0[/tex]
From this new equation, we can easily see that a = 2, b = -5, and c = 11 AND you don't have to work with as many fractions. Substitute the values for a, b, and c into the quadratic formula to get:
[tex]m_{1,2}=\frac{5+or-\sqrt{(-5)^{2}-4(2)(11) } }{2(2)}[/tex]
That simplifies to:
[tex]\frac{5}{4}+or-\frac{\sqrt{25-88} }{4}[/tex]
Which simplifies even further to:
[tex]\frac{5}{4}+or-\frac{\sqrt{-63} }{4}[/tex]
Which gets you:
[tex]\frac{5}{4}+or-\frac{3i\sqrt{7} }{4}[/tex]
P.S. The plus-minus sign wasn't working for me, so I had to just write, "+or-". I hope that didn't make it too confusing for you.
P.P.S. Hope this helps :) Don't forget to mark Brainliest if it did.
