Recent content by Yordana

  1. Yordana

    MHB Is z + z¯ and z × z¯ Real for Any Complex Number z?

    I apologize in advance for my English. I want to know if my solution is correct. :) To verify that for every complex number z, the numbers z + z¯ and z × z¯ are real. My solution: z = a + bi z¯ = a - bi z + z¯ = a + bi + a - bi = 2a ∈ R z × z¯ = (a + bi) × (a - bi) = a^2 + b^2 ∈ R
  2. Yordana

    MHB How Do You Solve These Simultaneous Equations?

    Determine the real numbers x and y from the equations: I would appreciate it if someone could show me the solution to the first sub point.. 😢
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