Author Question: How would you solve this mathematical problem? (Read 3298 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 most common childhood diseases include croup, chickenpox, ear infections, flu, pneumonia, ringworm, respiratory syncytial virus, scabies, head lice, and asthma.

Did you know?

Human kidneys will clean about 1 million gallons of blood in an average lifetime.

Did you know?

For about 100 years, scientists thought that peptic ulcers were caused by stress, spicy food, and alcohol. Later, researchers added stomach acid to the list of causes and began treating ulcers with antacids. Now it is known that peptic ulcers are predominantly caused by Helicobacter pylori, a spiral-shaped bacterium that normally exist in the stomach.

Did you know?

The term pharmacology is derived from the Greek words pharmakon("claim, medicine, poison, or remedy") and logos ("study").

Did you know?

People who have myopia, or nearsightedness, are not able to see objects at a distance but only up close. It occurs when the cornea is either curved too steeply, the eye is too long, or both. This condition is progressive and worsens with time. More than 100 million people in the United States are nearsighted, but only 20% of those are born with the condition. Diet, eye exercise, drug therapy, and corrective lenses can all help manage nearsightedness.

For a complete list of videos, visit our video library