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Complex Numbers
Page 7
Questions (969)
What is an Imaginary Number?
1 answer
asked by
Katt<3Bob\by
460 views
Write the Expression as a complex number in standard form.
5i(3+2i)(8+3i)
2 answers
asked by
Kaitlyn
910 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
1 answer
asked by
Jamie
739 views
There exist two complex numbers c, say c1 and c2, so that 2 + 2i, 5 + i, and c form the vertices of an equilateral triangle.
1 answer
asked by
Aditya
642 views
The number cis 75 + cis 83 + cis91 +...+ cis 147 is expressed in the form r cis(theta), where 0 <= theta < 360.
Find theta in
7 answers
asked by
Josh
815 views
Prove algebraically that |w+z|<=|w|+|z| for any complex numbers w and z.
1 answer
asked by
Josh
394 views
The system of equations
|z - 2 - 2i| = \sqrt{23}, |z - 8 - 5i| = \sqrt{38} has two solutions z1 and z2 in complex numbers. Find
2 answers
asked by
Aditya
557 views
Find the complex number z that satisfies (1 + i)z - 2 overline{z} = -11 + 25i.
Im not sure how to solve this. I tried
2 answers
asked by
Aditya
515 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
2 answers
asked by
Aditya
476 views
Let Z be equal to (2-5i)
The question is z^2 +iz -(5+i) The answer I got for this was -22 + 18i but it isn't correct on my
1 answer
asked by
Anonymous
350 views
Write the following in a+bi form
(-5-i)/(3-3i) -5/3 and 1/3i (-5/2i)/(-1/5i) 23 and 0i (-2i)^3 -2 and 0 Im having trouble with
1 answer
asked by
Anonymous
369 views
Write the following a+bi form
i(3.14-3i) Please help. I believe that the answer is 3.14i-3i, which would be (3.13*-1)-3*-1.
1 answer
asked by
Anonymous
346 views
4+7i divided by 2
(problem is written as a fraction) 4+7i _________ 2
1 answer
asked by
Danielle
328 views
(7 − i)(2 + i)
1 answer
asked by
alg
274 views
how do you find the standard form of
7(cos255degrees + isin255degrees) ?
3 answers
asked by
Anonymous
317 views
Ts=0.18, H(s)=3/s+3 ,find hI[n],HI[e^jw},hs[n]
1 answer
asked by
Andrew
233 views
Simplify 4-7i/2+5i
3 answers
asked by
Alexis
354 views
Find this quotient. Express the result in rectangular form.
9(cos3π/2 + isin3π/2) ÷ 3(cosπ/4 + isinπ/4)
2 answers
asked by
Alexis
680 views
Express the number in rectangular form.
3(cosπ/3+isinπ/3)
2 answers
asked by
Alexis
537 views
1.) Simplify the expression.
[sqrt3 + 2i][sqrt3 - 2i] 2.) Solve using the square root property. (y - 4)2 = -18 3.) Rewrite the
5 answers
asked by
Lori
520 views
Prove algebraically that |w+z| is less than or equal to |w|+|z| for any complex numbers w and z, where || is the magnitude.
After
1 answer
asked by
Cambridge
424 views
express in form a+bi
(1+2sqrt3)(2-3sqrt-3) so I came up with 2-3i sqrt3 + 4sqrt3 - 18i Is that solution a+bi form
1 answer
asked by
Terri
364 views
1. Find all the values of log(1-i) , log(3-2i)
2. Find all the values for the following expressions. (a) 5^i 1 (b) log(1+i)^πi
4 answers
asked by
ji
1,255 views
What is the absolute value of negative 4 minus 9 i?
(1 point) Responses negative 13 Image with alt text: negative 13 5 5 Start
3 answers
asked anonymously
75 views
simplify the expression
-5+i/2i
6 answers
asked by
katrina
308 views
How many ordered triples of complex
numbers(a,b,c) are there such that a^3- b,b^3-c,c^3-a are rational numbers, and
1 answer
asked by
pls help quickly
338 views
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)
1 answer
asked by
Rinchan
376 views
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
1 answer
asked by
Rin-chan-san
465 views
Sketch the sets of complex numbers that would satisfy the following equations.
a) |z| > 3 b) z = bi how would the sketches look
1 answer
asked by
Rayne
391 views
Sketch the sets of complex numbers that would satisfy the following equations.
a)z=2 b)|z|=2 c)(5,4) d)(sqrt2, -sqrt2) Also,
1 answer
asked by
Rayne
346 views
1)
i) use an algrbraic method to find the square root of 2+i√5. give your answer in the form x+iy, where x and y are exact real
4 answers
asked by
Queenie
604 views
5) find the complex number z and w such that z+w=4+3i and z-iw=3-2i
3 answers
asked by
Queenie
360 views
What is the absolute value if 10-7i?
1 answer
asked by
Karen
340 views
1. The complex number 'a' is such that a^2=5-12i
use an algebraic method to find the two possible values of 'a' 8. The complex
9 answers
asked by
Kerry-Ann
606 views
Find the modulus and principal argument of the complex numbers giving the argument in radians either as pi or a decimal correct
3 answers
asked by
KerryJ
1,244 views
2) Simplify √-1-4/5-√-1
A.-1/24+19/24i B.-21/26+1/26i C.-19/24-1/24i D.-1/26-21/26i 3) How many petals do the two rose curves
2 answers
asked by
suzy
516 views
Let x,y be complex numbers satisfying
x+y=a xy=b, where a and b are positive integers from 1 to 100 inclusive. What is the sum of
1 answer
asked by
Danny
430 views
Simplify the expression:
(2 + 6⋅i)(-1 + 6⋅i)
1 answer
asked by
lisa
244 views
Write the number in the form a + bi:
square root -9 + 16 i got 16 +3i is that right
1 answer
asked by
lisa
283 views
Write the complex number in the form a=bi
√(3)(cos π/3 + isin π/3)
1 answer
asked by
yes
463 views
Write the complex number in trigonometric form, using degree measure for the argument.
-12 - 16i
2 answers
asked by
tony
778 views
Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form.
[2(cos 240° + i sin 240°)]^5
3 answers
asked by
tony
631 views
Find z1z2 and z1/z2 for the pair of complex numbers using trigonometric form.
z1=4+9i, z2=-5-5i I got z1z2 = 25-65i But cannot
2 answers
asked by
tony
627 views
The picture below shows a figure in the complex plane, consisting of two circles of radius 1, with centers (3,0) and (−3,0)
2 answers
asked by
Anonymous
549 views
Let z be a complex number such that z = 2(cos 8∘ + i cos 82∘).Then z^5 can be expressed as r(sin α∘+ i cos α∘), where
1 answer
asked by
Shin
1,133 views
Let z be a complex number such that
z=2(cos3∘+icos87∘). Then z^6 can be expressed as r(sinα∘+icosα∘), where r is a real
4 answers
asked by
Crow
388 views
Given w=2+2i and v=−5√3+5i,
vw^2 can be expressed as r*(cos(α∘)+i*sin(α∘)), where r is a real number and 0≤α≤360.
3 answers
asked by
Crow
366 views
convert è = -2 to rectangular equation form
3 answers
asked by
Anonymous
337 views
If f(x) is a polynomial with real coefficients such that f(4+3i)=31+16i, then f(4−3i)=a+bi. What is the value of a+b
2 answers
asked by
Tony
750 views
Can someone please give me a step by step answer on how to find the complex cube roots of 8(cos(4π/5)+isin(4π/5))? I need to
3 answers
asked by
Kate
690 views
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