Linear imaginary equation

Given that
2(z+i)=i(z+i)
"this is z star" Find the value of the complex number z.

Result

z = (Correct answer is: -i) Wrong answer

Step-by-step explanation:

2(z+i)=i(z+i) 2 z+2 i=−1+iz z=−i

Try another example


We will be pleased if You send us any improvements to this math problem. Thank you!






avatar




Tips to related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Try our complex numbers calculator.

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Imaginary numbers
    Complex_conjugate_picture.svg Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is its sum?
  • The modulus
    abs_value Find the modulus of the complex number 2 + 5i
  • Linear combination of complex
    cplx_function If z1=5+3i and z2=4-2i, write the following in the form a+bi a) 4z1+6z2 b) z1*z2
  • Mappings of complex numbers
    complex_numbers Find the images of the following points under mappings: z=3-2j w=2zj+j-1
  • ABS CN
    complex_num Calculate the absolute value of complex number -15-29i.
  • Complex number coordinates
    complex_numbers Which coordinates show the location of -2+3i
  • Goniometric form
    complex_fnc Determine the goniometric form of a complex number z = √ 110 +4 i.
  • Is complex
    cplx Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
  • Three numbers
    numbers_9 Find three numbers so that the second number is 4 times greater than the first and the third is lower by 5 than the second number. Their sum is 67.
  • De Moivre's formula
    sqrt3_complex There are two distinct complex numbers z, such that z3 is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers.
  • Let z1=x1+y1i
    cplx_function Let z1=x1+y1i and z2=x2+y2i Find: a = Im (z1z2) b = Re (z1/z2)
  • Im>0?
    ReIm Is -10i a positive number?
  • Find x 2
    sphere Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. Write down the number of solutions.
  • Two-digit number
    numbers_1 Digit sum of thinking two-digit natural number is 11. When it exchanging a sequence of digits, given a number which is 27 less than the thinking number. Find out which number I think.
  • Unknown number
    iks-icon Samuel wrote unknown number. Then he had add 200000 to the number and the result multiply by three. When it calculated he was surprised, because the result would have received anyway, if write digit to the end of original number. Find unknown number.
  • Modulus and argument
    complex_numbers Find the mod z and argument z if z=i
  • Amazing number
    numbers4 An amazing number is name for such even number, the decomposition product of prime numbers has exactly three not necessarily different factors and the sum of all its divisors is equal to twice that number. Find all amazing numbers.