![\boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}](https://tex.z-dn.net/?f=%5Cboxed%7Bx_%7B1%7D%3D-15%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7Bx_%7B2%7D%3D-17%7D)
<h2>
Explanation:</h2>
In this case, we have the following equation:
![x^2+32x+256=1](https://tex.z-dn.net/?f=x%5E2%2B32x%2B256%3D1)
But we can write this equation as:
![x^2+32x+256=1 \\ \\ Subtract \ -1 \ from\ both \ sides: \\ \\ x^2+32x+256-1=1-1 \\ \\ x^2+32x+255=0](https://tex.z-dn.net/?f=x%5E2%2B32x%2B256%3D1%20%5C%5C%20%5C%5C%20Subtract%20%5C%20-1%20%5C%20from%5C%20both%20%5C%20sides%3A%20%5C%5C%20%5C%5C%20x%5E2%2B32x%2B256-1%3D1-1%20%5C%5C%20%5C%5C%20x%5E2%2B32x%2B255%3D0)
So this final result is a quadratic equation written in Standard Form (
). We need to find the solutions to this equations, so let's use quadratic formula:
![x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ b=32 \\ c=255 \\ \\ \\ x=\frac{-32 \pm \sqrt{(32)^2-4(1)(255)}}{2(1)} \\ \\ x=\frac{-32 \pm \sqrt{1024-1020}}{2} \\ \\ x=\frac{-32 \pm \sqrt{4}}{2} \\ \\ x=\frac{-32 \pm 2}{2} \\ \\ Finally, \ two \ solutions: \\ \\ \boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%5C%5C%20%5C%5C%20a%3D1%20%5C%5C%20b%3D32%20%5C%5C%20c%3D255%20%5C%5C%20%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B-32%20%5Cpm%20%5Csqrt%7B%2832%29%5E2-4%281%29%28255%29%7D%7D%7B2%281%29%7D%20%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B-32%20%5Cpm%20%5Csqrt%7B1024-1020%7D%7D%7B2%7D%20%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B-32%20%5Cpm%20%5Csqrt%7B4%7D%7D%7B2%7D%20%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B-32%20%5Cpm%202%7D%7B2%7D%20%5C%5C%20%5C%5C%20Finally%2C%20%5C%20two%20%5C%20solutions%3A%20%5C%5C%20%5C%5C%20%5Cboxed%7Bx_%7B1%7D%3D-15%7D%20%5C%5C%20%5C%5C%20%5Cboxed%7Bx_%7B2%7D%3D-17%7D)
<h2>Learn more:</h2>
Quadratic Equations: brainly.com/question/10278062
#LearnWithBrainly
Answer:
99 dollars
Step-by-step explanation:
90 divided by 5 equals 18 slice that in half you get 9.
90 + 9 =99
I just did the math on my calculator and 300 divided by 60 is 5. So you are correct. Hope this helped!
-TTL
Answer:
Here are the formulas
Cube/Rectangular Prism:
Volume = Length*width*height
Surface area = 2(wl+hl+hw)
Lateral area= Area of vertical faces
Base area = length*width
Regular hexagonal prism:
Volume : (3sqrt3/2)*a^2*h
Surface Area = 6ah+3sqrt(3)a^2
lateral area: 6ah
base area = 3sqrt(3)s^2/2
Triangular prism
Volume: The volume of a triangular prism can be found by multiplying the base times the height.
Surface area: A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.
Etc.