Complex numbers - practice problems - page 2 of 3
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 59
- Real and imaginary parts
Let z1=x1+y1i and z2=x2+y2i Find: a = Im (z1z2) b = Re (z1/z2) - Imaginary numbers
Find two imaginary numbers whose sum is a real number. How are the two imaginary numbers related? What is their sum? - Linear combination of complex
If z1=5+3i and z2=4-2i, write the following in the form a+bi a) 4z1+6z2 b) z1*z2 - Eq2 equations
For each of the following problems, determine the roots of the equation. Given the roots, sketch the graph and explain how your sketch matches the roots given and the form of the equation: g(x)=36x²-12x+5 h(x)=x²-4x+20 f(x)=4x²-24x+45 p(x)=9x²-36x+40 g(x) - ReIm notation Let z = 6 + 5i and w = 3 - i. Compute the following and express your answer in a + bi form. w + 3z
- Evaluate complex expr Evaluate the expression (-4-7i)-(-6-9i) and write the result in the form a+bi (Real + i* Imaginary).
- An Argand diagram
Find the sum z1+z2 and difference z1-z2 and z2-z1 of z1=5+2i and z2=2+3i by an Argand diagram. - Log
Calculate the value of expression log |-10 -2i +7i²| . - Determine 4083
Determine the sum of complex numbers: 2i² + 2i4 - Difference - two complex
Determine the difference between two complex numbers: 3i²-3i4 - Complex number coordinates
Which coordinates show the location of -2+3i - Is complex Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?
- Im>0?
Is -10i a positive number? - Reciprocal Calculate the reciprocal of z=0.8-1.8i:
- Complex conjugate
What is the conjugate of the expression 5√6 + 6√5 i? A.) -5√6 + 6√5 i B.) 5√6 - 6√5 i C.) -5√6 - 6√5 i D.) 6√5 - 5√6i - Mappings of complex numbers
Find the images of the following points under mappings: z=3-2j w=2zj+j-1 - Real roots
Determine the real root of the equation: x-3: x-8 = 32 - Quadratic - EQ2 - complex
Solve the quadratic equation: 2y²-8y + 12 = 0 - Conjugate equation
Find the numbers of a and b; if (a - bi) (3 + 5i) is the Conjugate of (-6 - 24i) - Linear imaginary equation Given that 2(z+i)=i(z+i) "this is z star" Find the value of the complex number z.
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