Author Question: How would you solve this mathematical problem? (Read 2865 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?

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

Did you know?

In ancient Rome, many of the richer people in the population had lead-induced gout. The reason for this is unclear. Lead poisoning has also been linked to madness.

Did you know?

In ancient Rome, many of the richer people in the population had lead-induced gout. The reason for this is unclear. Lead poisoning has also been linked to madness.

Did you know?

Asthma-like symptoms were first recorded about 3,500 years ago in Egypt. The first manuscript specifically written about asthma was in the year 1190, describing a condition characterized by sudden breathlessness. The treatments listed in this manuscript include chicken soup, herbs, and sexual abstinence.

Did you know?

There are more nerve cells in one human brain than there are stars in the Milky Way.

For a complete list of videos, visit our video library