Author Question: How would you solve this mathematical problem? (Read 1325 times)

aero

  • Hero Member
  • *****
  • Posts: 512
Solve by using the quadratic formula. Give your answers in simplest radical form. Give both real and imaginary roots.

4/z = 3z/z-3

I have a lot of problems that are just like the one about but I just don't know how to go about solving them.



go.lag

  • Hero Member
  • *****
  • Posts: 667
4/z = 0
No solution



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question

ricki

  • Full Member
  • ***
  • Posts: 200
You need to use the quadratic formula, so you need to get a quadratic function out of what you're given.

4 = 3z^2/(z-3)

4(z-3) = 3z^2

4z-12=3z^2

Then rearrange by subtracting 4z and adding 12, which leaves you:

3z^2-4z+12=0

Then plug into the quadratic formula, with 3=a, -4=b, and 12=c.

I included a link for the quadratic formula in case you don't know it.

Best of luck! :D



ricki

  • Full Member
  • ***
  • Posts: 200
If {4/z = 3z/z-3} is equal to {4/z = (3z/z)-3} = 3-3 = 0 then no solution.
If {4/z = 3z/z-3} is equal to {4/z = 3z/(z-3) then  z = 0.66 +/-j1.89  where j^2 = -1

I believe you mean by:
4/z = 3z/(z-3) instead of  4/z = 3z/z-3
If so, then
work;
4/z = 3z/(z-3) or
3z^2 -4z+12 = 0
comparing to the eq. ax^2+bx+c or x = {-b+/-sqrt(b^2-4ac} / 2a.  we get:
z = {4 +/-sqrt(16-144)} / 6
= {4 +/-sqrt(-128)}/6 = 4/6 +/-(j11.31)/6....:where j^2 = -1
z = 0.66 +/-j1.89



 

Did you know?

The calories found in one piece of cherry cheesecake could light a 60-watt light bulb for 1.5 hours.

Did you know?

There used to be a metric calendar, as well as metric clocks. The metric calendar, or "French Republican Calendar" divided the year into 12 months, but each month was divided into three 10-day weeks. Each day had 10 decimal hours. Each hour had 100 decimal minutes. Due to lack of popularity, the metric clocks and calendars were ended in 1795, three years after they had been first marketed.

Did you know?

Acetaminophen (Tylenol) in overdose can seriously damage the liver. It should never be taken by people who use alcohol heavily; it can result in severe liver damage and even a condition requiring a liver transplant.

Did you know?

Cytomegalovirus affects nearly the same amount of newborns every year as Down syndrome.

Did you know?

A recent study has found that following a diet rich in berries may slow down the aging process of the brain. This diet apparently helps to keep dopamine levels much higher than are seen in normal individuals who do not eat berries as a regular part of their diet as they enter their later years.

For a complete list of videos, visit our video library