Answer:
![x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B4%5Csqrt%7B15%7D%7D%7B3%7D%2C%20x%20%3D%20%5Cfrac%7B-4%5Csqrt%7B15%7D%7D%7B3%7D)
or
![x = \frac{\pm4\sqrt{15}}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B%5Cpm4%5Csqrt%7B15%7D%7D%7B3%7D)
Step-by-step explanation:
Hello!
Use the quadratic formula: ![x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D)
First, let's convert our equation to standard form of a Quadratic: ax² + bx + c = 0
3x² = 80
3x² - 80 = 0
Note, thats the value of b will be 0, as there is no "bx"
Now, solve:
Plug in values
Simplify the radical (Discriminant)
Pull out perfect squares
Reduce factors
The solutions are ![x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B4%5Csqrt%7B15%7D%7D%7B3%7D%2C%20x%20%3D%20%5Cfrac%7B-4%5Csqrt%7B15%7D%7D%7B3%7D)
Step-by-step explanation:
f(x) = x³ + 3x² - x - 3 = x²(x + 3) - (x + 3)
= (x² - 1)(x + 3) = (x + 1)(x - 1)(x + 3).
The roots of f(x) are x = -3, -1 and 1.
=> The new roots are x = -5, -3 and -1.
=> g(x) = (x + 5)(x + 3)(x + 1) = x³ + 9x² + 23x + 15.
48 dollars that he made as his allowance
If you would like to know what percent is New Mexico's land area of total area of the United States, you can do this using the following step:
0.03 = 3/100 = 3%
The correct result would be 3%.
Answer:
C
Step-by-step explanation:
This is actually a combination problem as we are trying to select groups of 5 from the 15 qualified trainees.
To do this, we use the combinatorial approach. This is done by using the formula 15C3 = 15!/(15-3)!3!
This gives a value of 455