There are many ways in which we can find for the zeros of the problem. We can use the quadratic formula, completing the square, using a graphing calculator, etc.
For this problem, I'll be completing the square.
x² - 6x = -22
Since the constant has been moved to the right side already, we can move on to the next step which is adding (b/2)² to both sides of the equation.
x² - 6x + (-6/2)² = -22 + (-6/2)²
x² - 6x + 9 = -22 + 9
Factor the left side of the equation into a perfect square and simplify the right side.
(x - 3)(x - 3) = -13
Take the square of both sides.
x - 3 = ± √-13
Take out the negative from the square root as the letter "i"
x - 3 = ± i√13
Add 3 to both sides of the equation to let x be by itself.
x = 3 ± i√13
So your two roots will be:
x = 3 + i√13 and x = 3 - i√13
Solution: C. 3 - i√13
Hey there!
It seems as if you found the answer to your problem? If you need any help though, just let me know!
Let me know if you'd like me to explain how I got this answer!
Answer:
a = 4
b = 2√3
Step-by-step explanation:
Here, we want to get the missing side lengths
We start by looking at the values that we are given
from the question, a faces the right-angle and is called the hypotenuse; it is also the longest side
b faces the angle given and is also called the opposite
Lastly, the side marked 2 is the adjacent side
Now, the triangle given is called a 30-60-90 triangle
In a 30-60-90 triangle, the ratio of the sides are given as
1: √3:2
Thus, we have 1 as the adjacent
The opposite would be √3 * 2 = 2 √3 = b
Lastly , a = 2 * 2 = 4
12 is the gcf of 12 and 48