Calculus

posted by .

two complex numbers Z and W are related by the formula
W=(Z+1)/(1-Z)

what is W if Z=1.5i?


thanks for the help!

  • Calculus -

    Substitute 1.5i for Z in the equation.

    W = (1 + 1.5i)/(1 - 1.5i)

    This can be simplied by multiplying numerator and denominator by 1 + 1.5i. It gets rid of the complex deniminator. W = (1 + 1.5i)^2/(1 + 1.5)^2)
    = (1/3.25)* (1 + 3i -2.25)
    = (4/13)(-1.25 + 3i)
    = -5/13 + 12i/13

  • Calculus -

    ah!!i was so dumb! i was trying to multiplying numerator and denominator by 1+Z,of course it didn't work out...haha...

    thankyou !!!!

  • Calculus -

    Anne, you were not so dumb at all!

    I solved the above question the same way by multiplying top and bottom by 1+Z.

    Whether you substitute first and then multiply like drwls did, or multiply first and then substitute does not matter, you should get the same result.

    I had (3i-1.25)/(13/4)
    = (12i-5)/13 which is also drwls' answer

    Check your work, you must have made an error.

  • Calculus -

    yeah...i did made an error...
    3.35 instead of 3.25...haha.
    thx guys!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Maths- complex numbers

    Find tan(3 theta) in terms of tan theta Use the formula tan (a + b) = (tan a + tan b)/[1 - tan a tan b) in two steps. First, let a = b = theta and get a formula for tan (2 theta). tan (2 theta) = 2 tan theta/[(1 - tan theta)^2] Then …
  2. Calculus--complex numbers

    the complex number Z satisfies Z/(Z+4)= 3+2i Find Z. please help thx!
  3. calculus

    can you please explain tep by step how to solve dividing complex numbers strictly using a graph, the complex plane. I know how to do it algebraically, but not graphically. thankyou
  4. math-complex numbers

    Sketch the sets of complex numbers in the complex plane that satisfy the following: a) |z-1|=2 b) |z-3i|=2 c) |z-5+2i|=2 I'm not sure, but are you supposed to rearrange the whole thing to |z|=a+bi?
  5. math-complex numbers

    If z = -3+4i, determine the following related complex numbers. a)vector z b)3(vector z) c) 1/(vector z) d) |z| e) |vector z| f) (vector z)/(|z|^2)
  6. Complex numbers - quadratic formula

    Let a and b be real numbers. The complex number 4 - 5i is a root of the quadratic z^2 + (a + 8i) z + (-39 + bi) = 0. What is the other root?
  7. Complex Numbers

    The system of equations |z - 2 - 2i| = \sqrt{23}, |z - 8 - 5i| = \sqrt{38} has two solutions z1 and z2 in complex numbers. Find (z1 + z2)/2. Im really just plain old confused. Could anyone help me out?
  8. Math

    "The conjugate of the sum of two complex numbers is equal to the sum of the conjugates of the two complex numbers." This is true right?
  9. Chem 100

    CHemical formula names a. Name either the complex, or given the name of the complex, write the formula for the complex I. Fe[AlF6] II. tetracarbonylplatinum(IV) chloride III. [CrBr(H2O)(en)2]Cl2 IV. K3[Fe(CN)6] I have really no idea …
  10. Precalc

    To which set(s) of numbers does the number sqrt -16 belong?

More Similar Questions