Answer:
Completing the square answer

Solution set
= 
Step-by-step explanation:
Assuming the question is correctly interpreted as 2m2 = 2m², here is how to proceed
We have 
Divide by 2 on both sides

Take half of the coefficient of
and square it
![\left[ - \frac{3}{2} \cdot \frac{1}{2} \right]^2 = \frac{9}{16}](https://tex.z-dn.net/?f=%5Cleft%5B%20%20-%20%5Cfrac%7B3%7D%7B2%7D%20%5Ccdot%20%5Cfrac%7B1%7D%7B2%7D%20%5Cright%5D%5E2%20%3D%20%5Cfrac%7B9%7D%7B16%7D)
Add the result to both sides

can be re-written as a perfect square

The RHS becomes

Therefore,

Take the square root of both side
![m - \frac{3}{4} = \pm \sqrt[]{ - \frac{391}{16}}](https://tex.z-dn.net/?f=m%20%20-%20%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cpm%20%5Csqrt%5B%5D%7B%20-%20%5Cfrac%7B391%7D%7B16%7D%7D)
Simplify
![m - \frac{3}{4} = \pm \frac{\sqrt[]{391}i}{4}](https://tex.z-dn.net/?f=m%20%20-%20%5Cfrac%7B3%7D%7B4%7D%20%3D%20%5Cpm%20%5Cfrac%7B%5Csqrt%5B%5D%7B391%7Di%7D%7B4%7D)
Adding
both sides
![m = \frac{3}{4} + \frac{\sqrt[]{391}i}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%2B%20%5Cfrac%7B%5Csqrt%5B%5D%7B391%7Di%7D%7B4%7D)
This gives the two solutions
and
![m = \frac{3}{4} - \frac{\sqrt[]{391}i}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20-%20%5Cfrac%7B%5Csqrt%5B%5D%7B391%7Di%7D%7B4%7D)
which becomes
and

Answer:
see below
Step-by-step explanation:
Angle ACE = DCE since they are vertical angles
Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles
Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles
When all three angles are equal, the triangles are similar.
We can use ratios to find DE
DE CE
------- = ----------
AB AC
DE 8
------- = ----------
12 10
Using cross products
10 DE = 8*12
10 DE = 96
Divide by 10
DE = 9.6
Answer: the answer is 4, just 4
When using factoring by grouping, the replacement terms will both have the same sign of the original middle term. If the last term is negative, then the signs of the factors will have one of each sign with the “stronger” number (the larger absolute value) matching the middle term. hope this helps
Answer:
the second choice
Step-by-step explanation: