![\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:
10 Yards
Step-by-step explanation:
its so obvious my g
Answer:
A. 45 + b = 88, so b = $43
Step-by-step explanation:
We know that he's earned $45 dollars, plus b dollars for babysitting. This gives us the first part of the equation (45 + b). The total amount he earned was $88, so 45 + b = 88.
Then, you can solve it.
45 + b = 88
-45 -45
0 + b = 43
b = 43
This means he earned $43 babysitting his younger brother.
Hope this helps :)
Answer:
h(3) = 35
Step-by-step explanation:
Simplify h(t) = 16t - 4t - 1 to h(t) = 12t -1
Then, plug 3 into the t
h(3) = 12*3 - 1 = 36 - 1 = 35