I think 24.6 if I’m not right I’m so sorry
Answer:
See explanation, and ask for more details if unclear!
Step-by-step explanation:
The perfect square of this equation is
, since the square would be
. 1/4=4/16, meaning that you can set up the equation in the following way:
![(x^2-x+\frac{1}{4})-\frac{1}{16}=0](https://tex.z-dn.net/?f=%28x%5E2-x%2B%5Cfrac%7B1%7D%7B4%7D%29-%5Cfrac%7B1%7D%7B16%7D%3D0)
![(x-\frac{1}{2})^2=\frac{1}{16}](https://tex.z-dn.net/?f=%28x-%5Cfrac%7B1%7D%7B2%7D%29%5E2%3D%5Cfrac%7B1%7D%7B16%7D)
Take the square root of both sides:
![x-\frac{1}{2}=\pm \frac{1}{4}](https://tex.z-dn.net/?f=x-%5Cfrac%7B1%7D%7B2%7D%3D%5Cpm%20%5Cfrac%7B1%7D%7B4%7D)
Add 1/2 to both sides:
. Hope this helps!
Answer:
9765625
Step-by-step explanation:
Answer:
BE=7 un., EC=5 un.
Step-by-step explanation:
Triangles ABC and ADE are similar, then
![\dfrac{14}{14-x}=\dfrac{12}{BE}=\dfrac{10}{x}.](https://tex.z-dn.net/?f=%5Cdfrac%7B14%7D%7B14-x%7D%3D%5Cdfrac%7B12%7D%7BBE%7D%3D%5Cdfrac%7B10%7D%7Bx%7D.)
Thus,
![14x=10(14-x),\\ \\14x=140-10x,\\ \\24x=140,\\ \\x=\dfrac{140}{24}=\dfrac{35}{6}\ un..](https://tex.z-dn.net/?f=14x%3D10%2814-x%29%2C%5C%5C%20%5C%5C14x%3D140-10x%2C%5C%5C%20%5C%5C24x%3D140%2C%5C%5C%20%5C%5Cx%3D%5Cdfrac%7B140%7D%7B24%7D%3D%5Cdfrac%7B35%7D%7B6%7D%5C%20un..)
Therefore,
![\dfrac{12}{BE}=\dfrac{10}{\frac{35}{6}},\\ \\10BE=12\cdot \dfrac{35}{6},\\ \\10BE=70,\\ \\BE=7\ un.](https://tex.z-dn.net/?f=%5Cdfrac%7B12%7D%7BBE%7D%3D%5Cdfrac%7B10%7D%7B%5Cfrac%7B35%7D%7B6%7D%7D%2C%5C%5C%20%5C%5C10BE%3D12%5Ccdot%20%5Cdfrac%7B35%7D%7B6%7D%2C%5C%5C%20%5C%5C10BE%3D70%2C%5C%5C%20%5C%5CBE%3D7%5C%20un.)
So ![EC=BC-BE=12-7=5\ un.](https://tex.z-dn.net/?f=EC%3DBC-BE%3D12-7%3D5%5C%20un.)