Step-by-step explanation:
k² + 5k + 13 = 0
Using the quadratic formula which is

From the question
a = 1 , b = 5 , c = 13
So we have

<u>Separate the solutions</u>

The equation has complex roots
<u>Separate the real and imaginary parts</u>
We have the final answer as

Hope this helps you
Answer:
x = 8, y = 3
Step-by-step explanation:
Equating corresponding x and y coordinates , then
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 → (1)
2x - 5y = 1 → (2)
Substitute y = x - 5 into (2)
2x - 5(x - 5) = 1 ← distribute and simplify left side
2x - 5x + 25 = 1
- 3x + 25 = 1 ( subtract 25 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Substitute x = 8 into (1) for corresponding value of y
y = 8 - 5 = 3
Yes it is, and don't worry, I hate school too! Amazing username!
Knowing that there are two logs on both sides of the brackets, they cancel out.
This leaves:
4y-1=2y+7 (solve for y)
4y-2y=7-1
2y=6
y=3
Hope this helped :)