![\bf{1) \ x^4-61x^2+900=0 }](https://tex.z-dn.net/?f=%5Cbf%7B1%29%20%5C%20%20x%5E4-61x%5E2%2B900%3D0%20%7D)
Applying the factorization method, for example:
![\bf{ 0=(x^2)^2-61(x^2)+900=(x^2-36)(x^2-25)}](https://tex.z-dn.net/?f=%5Cbf%7B%200%3D%28x%5E2%29%5E2-61%28x%5E2%29%2B900%3D%28x%5E2-36%29%28x%5E2-25%29%7D)
![\bf{\\ &=(x+6)(x-6)(x+5)(x-5); }](https://tex.z-dn.net/?f=%5Cbf%7B%5C%5C%20%26%3D%28x%2B6%29%28x-6%29%28x%2B5%29%28x-5%29%3B%20%20%20%20%7D)
![\bf{ x_1=6 \quad x_2=-6 \quad \ \ \ x_3=5 \quad x_4=5 }](https://tex.z-dn.net/?f=%5Cbf%7B%20x_1%3D6%20%5Cquad%20x_2%3D-6%20%5Cquad%20%5C%20%5C%20%5C%20x_3%3D5%20%5Cquad%20x_4%3D5%20%20%7D)
![\bf{2) \ x^4-25x^2+144=0 }](https://tex.z-dn.net/?f=%5Cbf%7B2%29%20%5C%20%20x%5E4-25x%5E2%2B144%3D0%20%20%7D)
Applying the factorization method:
![\bf{0&=(x^2)^2-25(x^2)+144=(x^2-16)(x^2-9) }](https://tex.z-dn.net/?f=%5Cbf%7B0%26%3D%28x%5E2%29%5E2-25%28x%5E2%29%2B144%3D%28x%5E2-16%29%28x%5E2-9%29%20%7D)
![\bf{ =(x-4)(x+4)(x-3)(x+3); }](https://tex.z-dn.net/?f=%5Cbf%7B%20%3D%28x-4%29%28x%2B4%29%28x-3%29%28x%2B3%29%3B%20%7D)
![\bf{ x_1=4 \quad x_2=-4 \quad x_3=3 \quad x_4=-3 }](https://tex.z-dn.net/?f=%5Cbf%7B%20x_1%3D4%20%5Cquad%20x_2%3D-4%20%5Cquad%20x_3%3D3%20%5Cquad%20x_4%3D-3%20%20%7D)
Answer: 100$.
100% - 80% = 20%
20$ / 0.20(20%) =100$
Answer:
67.5 degrees
Step-by-step explanation:
The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.
Full circle = 360 degrees
360 degrees - 90 degrees = 270 degrees
Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.
So, we need to divide 270 by 4. We get 67.5 degrees.
Hope this helps!
treviglaslibrary