212 Answered Questions for the topic Complex Numbers
(a+bi)(c+di)=(3+36i) - Complex Numbers Equation Help
I got no solution for this question but apparently it isn't right:Directions: Find Integers a,b,c,d such that: (a+bi)(c+di)=(3+36i)
If z1, z2 are complex numbers of amplitudes theta1, theta2. Then the amplitude of 3*Z1/Z2
Finding the complex roots of a polynomial of the fourth degree.
I was working throught a question in my math book to which I found an answer, but an incorrect one. I was hoping that you guys could help me find the error in my calculations. Question: The... more
√(-3) × √(-3) = -3 why not 3
√(-3) × √(-3) = -3or√(-3) × √(-3) = √(-3×-3)=√9=3
Complex Numbers Trigonometry
Show that the summation of 42Cr * sin (r*x) for r from 0 to 42 = (2 * cos (x/2))^42 * sin (21x)
Pre-Calc: A polynomial with a specified complex zero
Hello! I am currently stuck on a homework question and I keep getting it wrong. Here is what the question is asking: Find a polynomial with integer coefficients that satisfies the given... more
consider the following quadratic equation
-4x^2 +bx-11=0Determine a possible value of b so that the quadratic has two complex solutions.A.)14B.)-16C.)-14D.)12
Do the solutions of x^2 - 10ix - 29 = 0 which are (5i - 2) and (5i + 2) satisfy the conjugate root theorem?
So for a Math assignment I have been posed with the question why do the two solutions above satisfy the conjugate root theorem? can any one please help because I can't come up with a proper... more
The zeros of P(x)=x^2+4 are (and multiplicity)
The zeros of P(x)=x^2+4 are x1= ……. + ………. i with negative imaginary part,it's multiplicity is ………… ; and x1= ……. + ………. i with positive imaginary part,it's multiplicity is ………… .thanks a lot
Complex Numbers Linear Algebra
What is the "standard basis" for fields of complex numbers?
What is the "standard basis" for fields of complex numbers? For example, what is the standard basis for $\\Bbb C^2$ (two-tuples of the form: $(a + bi, c + di)$)? I know the standard for $\\Bbb... more
Add or subtract the radical expressions as indicated, if possible.
Add or subtract the radical expressions as indicated, if possible. A. 111m√ 5 B. 111m2√ 5 C. It can't be simplified further. D. 21m2√ 5
Subtract the radical expressions. Assume that all variables represent positive real numbers.
Subtract the radical expressions. Assume that all variables represent positive real numbers. A. It can't be simplified further. B. C. D.
Divide the complex numbers. Write the answer in the form a + bi.
Divide the complex numbers. Write the answer in the form a + bi. A. B. C. D.
Form a polynomial f(x) with real coefficients
Degree:5 Zeroes: 7; - i; 7+i
A "Complex Number" equation problem
How can I solve this? It's a complex number equation: 2z^5 + z^4 - 6z^2 + z + 1 = 0
It’s about sat
(3+i)/(2-i) Multiply (a+bi) = 1 in the equation above a and b are constants .if i =√-1 what is the value of a ?
What are values of P such that P/P +1/P <1
what are values of P such that P+1⁄P < 1
Given that Z1= 2+5i, Z2=X+I. Also given that Z1,Z2, 2Z1+Z2 form a triangle of area 4 units then find the value of X.
Class 11 chapter name- complex numbers
Prove that the statements|z+ 1|>|z−1|and Re(z)>0 are equivalent.
Please show step by step.
Find the modulus and argument of: z= ((1 +j2)^2 * (4−j3)^3) / ((3 +j4)^4 * (2−j)^3)
Ans: (√5)/25,−2.035 Please show step by step
Given z1=e^(iπ/4) and z2=e^(−iπ/3) , find the arguments of (z1^3/z2).
The answer in the book is −11π/12. Please show step by step.
Find the real and imaginary parts of z when: 1/z = (2/(2+3i)) + (1/(3-2i))
The answer on the book is 7/5 + i 4/5. However, I couldn't solve it.Please show step by step.
whats the sum of the square root of -2 and the square root of -18
Write the complex number in polar form. Express the argument in radians. -5+5squareroot3 i
Show all work