Answer:
3.05521988407
Step-by-step explanation:
used a calculator lol
Answer:
x= 14, –12
Step-by-step explanation:
The given question might make you believe that it's difficult due to it's frightening digit (168) but in fact in you use the following methods, it's going to be a pieces of cake.
the delta formula:
Δ=b²–4ac===> (–2)²–4(1)(–168)=676
![x 1 = \frac{ - ( - 2) + \sqrt{676} }{2} = 14](https://tex.z-dn.net/?f=x%201%20%3D%20%5Cfrac%7B%20-%20%28%20-%202%29%20%2B%20%20%5Csqrt%7B676%7D%20%7D%7B2%7D%20%3D%2014%20)
![x2 = \frac{ - ( - 2) - \sqrt{676} }{2} = - 12](https://tex.z-dn.net/?f=x2%20%3D%20%20%5Cfrac%7B%20-%20%28%20-%202%29%20%20-%20%20%20%5Csqrt%7B676%7D%20%7D%7B2%7D%20%20%3D%20%20-%2012)
well this can be on of the methods and the other one is
The full square formula:
![x ^{2} - 2x - 168 = 0 \\ {x}^{2} - 2x = 168](https://tex.z-dn.net/?f=x%20%5E%7B2%7D%20%20-%202x%20-%20168%20%3D%200%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20-%202x%20%3D%20168)
[/tex]
now what you need to do is to put this on both side of the equation (½b)²=1
![{x}^{2} - 2x + 1 = 168 + 1 \\ {(x - 1)}^{2} = 169 \\ x - 1 = 13 = = > x = 14 \\ x - 1 = - 13 = = = > x = - 12](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%202x%20%2B%201%20%3D%20168%20%2B%201%20%5C%5C%20%20%7B%28x%20%20-%201%29%7D%5E%7B2%7D%20%20%3D%20169%20%5C%5C%20x%20-%201%20%3D%2013%20%3D%20%20%3D%20%20%3E%20x%20%3D%2014%20%5C%5C%20x%20-%201%20%3D%20%20-%2013%20%3D%20%20%3D%20%20%3D%20%20%3E%20x%20%3D%20%20-%2012)
Answer:
x=13
y=5
13-5=8
13+5=18
Step-by-step explanation:
Answer:
![72](https://tex.z-dn.net/?f=72)
Step-by-step explanation:
![\frac{9!}{(9 - 2)!} \\ \\ = \frac{9!}{7!} \\ \\ = \frac{362880}{5040} = 72](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%21%7D%7B%289%20-%202%29%21%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B9%21%7D%7B7%21%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B362880%7D%7B5040%7D%20%20%3D%2072)
15-7.99=x7.11=xhe has seven dollars and eleven cents more to spend.