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Complex Numbers
Page 3
Questions (982)
Find the real part of (sqrt{3} - i)^{2011}.
4 answers
asked by
Bob
1,985 views
are there solutions to x^3+27i=0 is so what are they?
4 answers
asked by
sue
3,663 views
The equation of the line joining the complex numbers -5 + 4i and 7 + 2i can be expressed in the form az + b*overline{z} = 38 for
4 answers
asked by
Sam
1,625 views
Show that 2i and 1-i are both solutions to the equation x^2-(1+i)x+(2+2i)=0 but their conjugates,-2i and 1+i are not. Then
4 answers
asked by
Sarah
763 views
Express the following in the form a + bi, where a and b are real numbers:
\sqrt{55+48i}
4 answers
asked by
Alicia
735 views
Write the complex number z = 2 + 5i in polar form, rounding to the nearest hundredth if needed.
4 answers
asked by
Jane
1,529 views
write 4R+9U in polar form
4 answers
asked by
Mar
780 views
(i) Express the complex number z = 4i/(1-i√3)in Cartesian form.
(ii) Determine the modulus and argument of z, and hence express
4 answers
asked by
s17
1,473 views
How can I write (1+i)^101 in its simplest form? The answer is: 2^50(1+i), but I do not know how to get to that.
3 answers
asked by
Victoria
703 views
Simplify: Write answers in the form of a + bi, where a and b are real numbers.
a. (1-2i)(1+3i) b. (3-5i)(8-2i)
7 answers
asked by
Breanna
2,724 views
Find the product of 9 -5i and its complex conjugate
3 answers
asked by
Anonymous
1,915 views
Find the square root of the complex number, calculate the magnitude of the number and its square roots
z=−3−4i
4 answers
asked by
help
930 views
Complex numbers are often used when dealing with alternating current (AC) circuits. In the equation V = IZ, V is voltage, I is
4 answers
asked by
Anonymous
1,558 views
Z=2e^(ipi/4)
What will the conjugate be ? - Z=?
4 answers
asked by
angy
2,195 views
There are four complex fourth roots to the number 4−4√3i. These can be expressed in polar form as
z1=r1(cosθ1+isinθ1)
4 answers
asked by
Shin
1,460 views
Given: Z1= -j2.5 ohms, Z2=j4; Z3=5 ohms; Z4= (1+j5) ohms. If the four impedances are connected in parallel, find the equivalent
2 answers
asked by
leo sanchez
640 views
Graph each complex number. Then express it in rectangular form.
2(cos(4pi/3) + isin(4pi/3)) I don't understand where to go from
3 answers
asked by
Tom
977 views
Perform all operations. Give the answer in
a + bi form. (−4 + 3i) + (3 − 6i)
3 answers
asked by
Angel45
807 views
Given \\(A=3+4i\\) and \\(B=2+5i\\), find AB
4 answers
asked by
Cleopas
1,485 views
Find the two square roots of 5-12i in the form a+bi, where a and b are real. Mark on an Argand diagram the points P and Q
4 answers
asked by
D
1,452 views
What is the rectangular form(a + bi) of:
1. 5 cis(255°) 2. sqrt3 cis (11pi/6)
4 answers
asked by
Anonymous
771 views
Find real numbers a and b such that the equation (a- 2)+(b+5)i=14+19i is true.
3 answers
asked by
Lilly
688 views
j - (5 - 3j) = 7j + 4
show all work
7 answers
asked anonymously
30 views
Find all complex numbers z satisfying
z3 = 27i and give your answer as a comma-separated list of values in the form a+bi.
3 answers
asked by
shana
4,030 views
If a+ib = (root of 1+i) / (root of 1-i )then prove a^2 +b^2 =1
2 answers
asked by
haritha
2,712 views
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
3 answers
asked by
Cambridge
737 views
4) The roots of the equation z^2+2z+4=0 are denoted by α and β.
a) find α and β in the form re^iθ, giving the values of r
3 answers
asked by
Kerry
1,421 views
find the three cuberoots of 8( cos 264 + jsin 264) and state which is the principal cuberoot. Show all three roots on an argand
2 answers
asked by
stella
602 views
Could someone help me check my answer? Thanks.
-Write each quotient as a complex number. 1. 3i/-2+i (Is the answer for this one =
3 answers
asked by
Shadow
779 views
(10 Squar root -13)(-5 square root -5)
put in standard form a+bi I really don't understand square roots so can you show me how to
3 answers
asked by
sarah
433 views
What is the absolute value of 6-8i ?
4 answers
asked by
Sofia
685 views
Simplify the expression.
-5+i/2i Please show how you get there and explain it. I'm struggling with this one.
3 answers
asked by
Paipai
384 views
How do I simplify this?
-5+i/2i I have been having trouble with the imaginary number concept and would like some help with this
5 answers
asked by
Jordi
387 views
Evaluate (5+5√3i)^7 using DeMoivre’s theorem.
Write your answer in rectangular form. Show all your work.
3 answers
asked by
JJ
1,679 views
If z=costheta +isintheta, prove that
a) z = 1/z b) z+1/z = 2costheta c) z-1/z=2isintheta Hence ,deduce that z^2-1/z^2
3 answers
asked by
Dani
878 views
The roots of
\[z^7 = -\frac{1}{\sqrt{2}} - \frac{i}{\sqrt{2}}\]are $\text{cis } \theta_1$, $\text{cis } \theta_2$, $\dots$,
3 answers
asked by
SAM
1,853 views
Perform the operation shown below and leave the result in trigonometric form.
[8(cos10° + i sin10°)] [5(cos 200° + i sin
4 answers
asked by
Jessica Maths
1,002 views
Let z be a complex number, and let n be a positive integer such that z^n = (z + 1)^n = 1. Prove that n is divisible by 6.
I have
3 answers
asked by
Katie
989 views
Simplify the number using the imaginary unit i. (sqrt)of -28
•2(sqrt)-7 •-2 (sqrt)-7 •i (sqrt)28 •2i (sqrt)7
4 answers
asked by
Sandra
1,169 views
Find each product or quotient. Express the result in rectangular form.
2(cosπ/6+isinπ/6) X 4(cos2π/3 +i2π/3)
3 answers
asked by
Alexis
1,037 views
If z = 2cis 60°, find z^4 in rectangular form.
4 answers
asked by
serena
742 views
-10i(5+8i)
4 answers
asked by
amanda
296 views
Perform Operations with Complex Number:
Solve the equation. x^2+121=0
5 answers
asked by
Sarah
734 views
what is the answer to 2i to the 5th power?
i^2 = -1 --> i^4 = 1 ---> i^5 = i (2i)^5 = 32 i thanks for the info!
3 answers
asked by
Andrea
439 views
Which of the following statements are true about the simplified form of the expression left-parenthesis 2 plus 2 i
3 answers
asked anonymously
170 views
Note :
Let us combine a source of strength m at the origin with a uniform flow of velocity 𝑢 parallel to the positive x-axis.
4 answers
asked by
Ashley
907 views
Im[(1 − i)e^iθ]. Your answer should include the term θ.
2 answers
asked by
Tony Thompson
204 views
The product (5+i)(5−i) is a real number, 26. What are the factors (5+i) and (5−i) called?
imaginary units** complex numbers
3 answers
asked by
Steve Linnan
1,454 views
How is the product of a complex number and a real number represented on the coordinate plane?
A)When 3 + 2i is multiplied by 3,
3 answers
asked by
Mma
2,328 views
Write 1+iroot 3 and 1-iroot3 in trig form and simplify (1+iroot3)^9 +(1-iroot3)^9 in x+iy form.
4 answers
asked by
Kelly
605 views
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Parent Categories (26)
Algebra
Algebraic Equations
Algebraic Expressions
Algebraic Manipulation
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