Answer:
The roots of the polynomial are;
3 + 2i
and 3-2i
Step-by-step explanation:
Here, we want to solve the given polynomial using the completing the square method
We start by dividing through by 8
This will give;
x^2 - 6x = -13
To complete the square, we simply divide the coefficient of x by 2 and square it
We have this as -6/2 = -3
square it;; = (-3)^2 = 9
Add it to both sides
x^2 - 6x + 9 = -13 + 9
x^2 - 6x + 9 = -4
(x-3)^2 = -4
Find the square root of both sides
x-3 = ±2i
x = 3 + 2i
or x = 3-2i
Answer:
12th floor
Step-by-step explanation:
20-15+7 =12
The function given is a line with one zero at the center (0,0)
Answer:
Step-by-step explanation:
<h3>Given</h3>
- H is the circumcenter of triangle BCD,
- BC = 18
- HD = 14
<h3>To find </h3>
<h3>Solution</h3>
- Triangle BHD is isosceles, therefore BH = HD
- Point E is midpoint of BC, therefore BE = 1/2BC
<u>Using Pythagorean, finding the value of EH:</u>
- EH = √(BH² - BE²) = √(14² - (18/2)²) = √(196 - 81) = √115 = 10.72