Answer:
x = -2 + 2 i or x = -2 - 2 i
Step-by-step explanation:
Solve for x:
x^2 + 4 x + 8 = 0
Subtract 8 from both sides:
x^2 + 4 x = -8
Add 4 to both sides:
x^2 + 4 x + 4 = -4
Write the left hand side as a square:
(x + 2)^2 = -4
Take the square root of both sides:
x + 2 = 2 i or x + 2 = -2 i
Subtract 2 from both sides:
x = -2 + 2 i or x + 2 = -2 i
Subtract 2 from both sides:
Answer: x = -2 + 2 i or x = -2 - 2 i
Hello from MrBillDoesMath!
Answer:
2 - i
Discussion:
Evaluate F(x) = x^3 - 2 x^2 when x = i.
i^2 = -1 for i^3 = i ( i^2) = i (-1) = -i
So F(i) = (i)^3 - 2 (i)^2
= -i - 2(-1)
= -i + 2
= 2 - i
which is the last answer shown
Thank you,
MrB
You need to include a picture or an equation
- Slope-Intercept form: y = mx + b, with m = slope and b = y-intercept
The easiest method to find the slope and y-intercept is to convert this standard form equation to slope-intercept form. Firstly, subtract 8x on both sides of the equation: 
Next, divide both sides by 12, and your slope-intercept form is: 
Now looking at this slope-intercept form, we can see that the <u>slope is -2/3 and the y-intercept is (0, 3/4).</u>