<h2>
Answer:</h2>
√44
2 Real Roots
<h2>
Step-by-step explanation:</h2>
Looking at the image attached, the discriminant is the value under the square root.
In the equation given:
a = 1
b = -8
c = 5
The discriminant is therefore:
√(b²- 4ac) = √(-8²- (4*1*5)) = √(64-20) = √44
√44 is a positive number. Because it is positive, there must be 2 real roots.
If it were negative, there would be 2 imaginary roots.
If it were zero, there would be 1 real root.
The first one is: Y = (x - 1)² - 16
The third one is: (A) X = 6.
6² - 36 = 0
Still working on the other ones, though.
Answer:
8
Step-by-step explanation:
by mutiplying the inequality
this expresson and polynomial can not be factored with rational numbers
The height attained by the arrow is modelled as,
Given that the initial height is 20 ft and the initial velocity is 179 ft per second,
Substitute the values,
When the arrow hits the ground its height will become zero,
Applying the quadratic formula,
![\begin{gathered} t=\frac{-(-179)\pm\sqrt[]{(-179)^2-4(-16)(20)}}{2(-16)} \\ t=\frac{179\pm\sqrt[]{33321}}{-32} \\ t=\frac{179\pm182.54}{-32} \\ t=\frac{179+182.54}{-32},t=\frac{179-182.54}{-32} \\ t=-11.298,t=0.1106 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20t%3D%5Cfrac%7B-%28-179%29%5Cpm%5Csqrt%5B%5D%7B%28-179%29%5E2-4%28-16%29%2820%29%7D%7D%7B2%28-16%29%7D%20%5C%5C%20t%3D%5Cfrac%7B179%5Cpm%5Csqrt%5B%5D%7B33321%7D%7D%7B-32%7D%20%5C%5C%20t%3D%5Cfrac%7B179%5Cpm182.54%7D%7B-32%7D%20%5C%5C%20t%3D%5Cfrac%7B179%2B182.54%7D%7B-32%7D%2Ct%3D%5Cfrac%7B179-182.54%7D%7B-32%7D%20%5C%5C%20t%3D-11.298%2Ct%3D0.1106%20%5Cend%7Bgathered%7D)
Since time cannot be negative, we have to neglect the negative value.
Thus, it can be concluded that the arrow will hit the ground after 0.1106 seconds approximately.
