Answer: 17% 0.175 2/111/5
Step-by-step explanation:
Answer:
Therefore the value of x is
![x=1\pm\sqrt{19}i](https://tex.z-dn.net/?f=x%3D1%5Cpm%5Csqrt%7B19%7Di)
Step-by-step explanation:
Given:
which is
![x^{2}-2x+20=0](https://tex.z-dn.net/?f=x%5E%7B2%7D-2x%2B20%3D0)
To Find:
x = ? using Quadratic Formula
Solution:
For a Quadratic Equation ax² + bx + c = 0 , Formula Method is given as
![x=\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%7B2a%7D)
On Comparing with above we get
![a=1\\b=-2\\c=20](https://tex.z-dn.net/?f=a%3D1%5C%5Cb%3D-2%5C%5Cc%3D20)
Substituting a , b , c in Formula method we get
![x=\dfrac{-(-2)\pm\sqrt{(-2)^{2}-4(1)(20)}}{2\times 1}\\\\x=\dfrac{2\pm\sqrt{-76}}{2}\\\\x=\dfrac{2\pm2\sqrt{19}i}{2}\\Dividing\ by\ 2\ we\ get\\\\x=1 \pm\sqrt{19}i](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B-%28-2%29%5Cpm%5Csqrt%7B%28-2%29%5E%7B2%7D-4%281%29%2820%29%7D%7D%7B2%5Ctimes%201%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B2%5Cpm%5Csqrt%7B-76%7D%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B2%5Cpm2%5Csqrt%7B19%7Di%7D%7B2%7D%5C%5CDividing%5C%20by%5C%202%5C%20we%5C%20get%5C%5C%5C%5Cx%3D1%20%5Cpm%5Csqrt%7B19%7Di)
Therefore the value of x is
![x=1\pm\sqrt{19}i](https://tex.z-dn.net/?f=x%3D1%5Cpm%5Csqrt%7B19%7Di)
Answer:
x is 60⁰ because 180 - 40 is 120 divide it by 2 because the bottem angles are equal and u get 60