The complement of 62 degrees is 28 degrees.
Answer:
![(x-(4+\sqrt{3}i))(x-(4-\sqrt{3}i))](https://tex.z-dn.net/?f=%28x-%284%2B%5Csqrt%7B3%7Di%29%29%28x-%284-%5Csqrt%7B3%7Di%29%29)
Step-by-step explanation:
Consider the quadratic expression
![x^2-8x+19](https://tex.z-dn.net/?f=x%5E2-8x%2B19)
First, find its discriminant:
![D=(-8)^2-4\cdot 1\cdot 19=64-76=-12](https://tex.z-dn.net/?f=D%3D%28-8%29%5E2-4%5Ccdot%201%5Ccdot%2019%3D64-76%3D-12)
Note that
then ![D=12i^2.](https://tex.z-dn.net/?f=D%3D12i%5E2.)
Use quadratic formula to find the roots:
![x_{1,2}=\dfrac{-(-8)\pm \sqrt{12i^2}}{2\cdot 1}=\dfrac{8\pm 2\sqrt{3} i}{2}=4\pm \sqrt{3}i](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%3D%5Cdfrac%7B-%28-8%29%5Cpm%20%5Csqrt%7B12i%5E2%7D%7D%7B2%5Ccdot%201%7D%3D%5Cdfrac%7B8%5Cpm%202%5Csqrt%7B3%7D%20i%7D%7B2%7D%3D4%5Cpm%20%5Csqrt%7B3%7Di)
Now, given quadratic expression is equivalent to
![(x-(4+\sqrt{3}i))(x-(4-\sqrt{3}i))\\ \\=(x-4-\sqrt{3}i)(x-4+\sqrt{3}i)](https://tex.z-dn.net/?f=%28x-%284%2B%5Csqrt%7B3%7Di%29%29%28x-%284-%5Csqrt%7B3%7Di%29%29%5C%5C%20%5C%5C%3D%28x-4-%5Csqrt%7B3%7Di%29%28x-4%2B%5Csqrt%7B3%7Di%29)
Answer:125
Step-by-step explanation: you multiply 5 by 5 squared which is 5 x (5x5) so basically just 5 x 25
2 no dog has more then 2 eyes