3/29/2024 0 Comments Tricky test 2 find zThe complex number 2 + 4i is one of the root to the quadratic equation x 2 + bx + c = 0, where b and c are real numbers.ī) Write down the second root and check it.įind all complex numbers z such that z 2 = -1 + 2 sqrt(6) i.įind all complex numbers z such that (4 + 2i)z + (8 - 2i)z' = -2 + 10i, where z' is the complex conjugate of z. If (x + yi) / i = ( 7 + 9i ), where x and y are real, what is the value of (x + yi)(x - yi)?ĭetermine all complex number z that satisfy the equationįind all complex numbers of the form z = a + bi, where a and b are real numbers such that z z' = 25 and a + b = 7 Problems and questions on complex numbers with detailed solutions are presented. Complex Numbers Problems with Solutions and Answers - Grade 12Ĭomplex numbers are important in applied mathematics.
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