Answer:
![x_1=\dfrac{5-\sqrt{57}}{2}\ ,\quad x_2=\dfrac{5+\sqrt{57}}{2}](https://tex.z-dn.net/?f=x_1%3D%5Cdfrac%7B5-%5Csqrt%7B57%7D%7D%7B2%7D%5C%20%2C%5Cquad%20x_2%3D%5Cdfrac%7B5%2B%5Csqrt%7B57%7D%7D%7B2%7D)
Step-by-step explanation:
![x^2-5x-8=0\\\\a=1\,,\ b=-5\,,\ c=-8\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-5)\pm\sqrt{(-5)^2-4\cdot1\cdot(-8)}}{2\cdot1}=\dfrac{5\pm\sqrt{25+32}}{2}=\dfrac{5\pm\sqrt{57}}{2}](https://tex.z-dn.net/?f=x%5E2-5x-8%3D0%5C%5C%5C%5Ca%3D1%5C%2C%2C%5C%20b%3D-5%5C%2C%2C%5C%20c%3D-8%5C%5C%5C%5Cx%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B-%28-5%29%5Cpm%5Csqrt%7B%28-5%29%5E2-4%5Ccdot1%5Ccdot%28-8%29%7D%7D%7B2%5Ccdot1%7D%3D%5Cdfrac%7B5%5Cpm%5Csqrt%7B25%2B32%7D%7D%7B2%7D%3D%5Cdfrac%7B5%5Cpm%5Csqrt%7B57%7D%7D%7B2%7D)
Formula for area:
Area=pi x r^2
=pi x (100 / 2)^2
=pi x 50^2
=7853.98
The vertical distance is 5 + 8 = 13
the horizantal distance is 3 +3 = 6
then just do pythag therom
6^2 + 13^2 = c^2
205 = c^2
<span>√205 = c
</span>