simplify each expression: i) (5+6i)(9+2i),ii)(4+3i)-(9+8i). Then compare the real and imaginary parts of each expression to the roots of x^(2)+4x+6
Added by Stacey C.
Step 1
Part i: Simplify (5+6i)(9+2i) ** Show more…
Show all steps
Close
Your feedback will help us improve your experience
Kimberly Waterbury and 51 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Simplify the complex expressions: 4i(1+i)+(6+2i) -3(5i)^2 i^{243}(1-3i) -1/2(1+i)(2i^{10}) 6(5+5i) / ((-2i)(3i^5)) (8-√-11)(8+√-11) (3+i)(2+i) (4+6i)+(-7-7i) i^24+i^61 (-3+10i)-(-5+4i)
Kimberly W.
Express each of the following in the form a + bi where a and b are real numbers. (a) (5 + 3i) + (1 - i) (b) (-3 + i) - (2 - i) (c) (3 + 2i) . (2 - i) (d) (-5 + 4i)/(-3 - i) (e) Re(5 - 3i) (f) Im(1 - 2i) (g) (1 + i)^3 Evaluate the following expressions and simplify to the form z = a + bi. (a) Let z1 = 6 + 7i and z2 = -3 + 3i. Find z1 + z2 and z1 - z2. (b) Let z1 = 5 + 5i and z2 = -1 + 2i. Find z1 . z2 and z1/z2. Find all possible values of z satisfying (a) z^2 = -25 (b) z^2 = -k^2, k ∈ R. Find the roots (i.e. the zeros) of the following polynomials by completing the square or using the quadratic formula if necessary. Specify whether the solutions are real or non-real. (a) -3x^2 - 7x - 9 (b) -32x^2 + 30 (c) 3x^2 + 2x + 1 (d) x^2 - 5x + 7 (e) x^2 + 6x + 9
Adi S.
(a) Simplify the following expressions in standard form: (3i + 6i + 2i') + (-7 + 45) - (1 + 8i - 2 + 3i) (b) Express -2 - 2√3i in polar form and hence find (-2 - 2√3i)^n in polar form and standard form. (25 marks)
Aidan M.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD