Posted the picture with the question so someone can me solve

Since D is the midpoint of CE, knowing that CD = 3x implies that DE = 3x as well.

So far, we know that:

Now, since AE and BD are parallel, the two triangles ACE and BCD are similar, which means that their corresponding sides are in the same proportion.

For this reason, we can write the following proportion:

and plug the values we wrote above:

Since the two factors in the right hand side are the same, the two factors on the left hand side must be equal as well, so we deduce which solves to .

Knowing that and that , we can easily conclude that .

the correct answer is 5 6 and 7

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11