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Complex Numbers
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Questions (969)
are there solutions to x^3+27i=0 is so what are they?
4 answers
asked by
sue
3,657 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
757 views
Express the following in the form a + bi, where a and b are real numbers:
\sqrt{55+48i}
4 answers
asked by
Alicia
728 views
Write the complex number z = 2 + 5i in polar form, rounding to the nearest hundredth if needed.
4 answers
asked by
Jane
1,519 views
write 4R+9U in polar form
4 answers
asked by
Mar
772 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
1,461 views
change 8 cis 240 degrees to rectangular form
4 answers
asked by
steve
3,271 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
2,716 views
Find the product of 9 -5i and its complex conjugate
3 answers
asked by
Anonymous
1,907 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
922 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
1,548 views
Z=2e^(ipi/4)
What will the conjugate be ? - Z=?
4 answers
asked by
angy
2,190 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
1,446 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
638 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
970 views
Perform all operations. Give the answer in
a + bi form. (−4 + 3i) + (3 − 6i)
3 answers
asked by
Angel45
798 views
Given \\(A=3+4i\\) and \\(B=2+5i\\), find AB
4 answers
asked by
Cleopas
1,478 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
1,444 views
What is the rectangular form(a + bi) of:
1. 5 cis(255°) 2. sqrt3 cis (11pi/6)
4 answers
asked by
Anonymous
767 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
684 views
j - (5 - 3j) = 7j + 4
show all work
7 answers
asked anonymously
26 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
4,022 views
If a+ib = (root of 1+i) / (root of 1-i )then prove a^2 +b^2 =1
2 answers
asked by
haritha
2,708 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
732 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
1,408 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
597 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
759 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
427 views
What is the absolute value of 6-8i ?
4 answers
asked by
Sofia
681 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
375 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
383 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
1,667 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
871 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
1,847 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
991 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
985 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
1,157 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
1,034 views
If z = 2cis 60°, find z^4 in rectangular form.
4 answers
asked by
serena
735 views
-10i(5+8i)
4 answers
asked by
amanda
288 views
Perform Operations with Complex Number:
Solve the equation. x^2+121=0
5 answers
asked by
Sarah
723 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
432 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
160 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
899 views
Im[(1 − i)e^iθ]. Your answer should include the term θ.
2 answers
asked by
Tony Thompson
196 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
1,443 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
2,323 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
598 views
Given complex numbers m and n below, what is m + n?
m = 10 + i n = 4 - 3i A. 14-3i B.14-2i C.9+i D.9+7i I think it's B.
4 answers
asked by
Emily
787 views
I'm doing some practice questions for my Complex Numbers unit and I'm confused on how to get the answer for this problem:
4 answers
asked by
Maia
521 views
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Parent Categories (26)
Algebra
Algebraic Equations
Algebraic Expressions
Algebraic Manipulation
Algebraic operations
Built-in Functions
Calculus
Complex Analysis
Coordinate Geometry
Equations
Equations and Inequalities
Linear Algebra
Math
Math operations
Mathematics
Number Systems
Numbers
Numbers and Operations
Operations
Polynomials
Python
Python Programming
Simplifying expressions
Systems of Equations
Trigonometry
Trigonometry/Polar Coordinates