Answer:
The equation has two solutions for x:
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
Step-by-step explanation:
Let's use the quadratic formula for solving for x in the equation:
X^2 - 8X + 41= 0
x² - 8x + 41 = 0
Let's recall that the quadratic formula is:
x = -b +/- (√b² - 4ac)/2a
Replacing with the real values, we have:
x = 8 +/- (√-8² - 4 * 1 * 41)/2 * 1
x = 8 +/- (√64 - 164)/2
x = 8 +/- (√-100)/2
x = 8 +/- (√-1 *100)/2
Let's recall that √-1 = i
x = 8 +/- 10i/2
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
To finish in 5 weeks:
For 4 of those weeks, read 4 chapters per week. On one of the weeks read 3 chapters.
To finish in 4 weeks:
For 3 of those weeks, read 5 chapters per week. On one of the weeks read 4 chapters.
To finish in 3 weeks:
For 2 of those weeks, read 6 chapters per week. On one of the weeks read 7 chapters.
To finish in 2 weeks:
On one week read 10 chapters. On the other week read 9 chapters.
To finish in 7 days:
For 6 of those days, read 3 chapters. On one of the days, read 1 chapter.
(4ab - 9a - 8) - (7ab - 1)
distribute (multiply) the negative through the parenthesis
<span>(4ab - 9a - 8) - 7ab + 1
No need for other parenthesis because nothing in front or to combine inside. </span>
<span>4ab - 9a - 8 - 7ab + 1
</span>
Combine like terms
- 3ab - 9a - 7
Sorry, don't have time to do them right now but I know who does!
http://www.wolframalpha.com/widgets/view.jsp?id=ae438682ce61743f90d4693c497621b7
Just plug in 2 at a time.
