# HW9 - MAP 103: Proﬁciency Algebra Homework #9 DUE:...

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Unformatted text preview: MAP 103: Proﬁciency Algebra Homework #9 DUE: THURSDAY, NOV. 5, 2009 1. Compute the following powers of i. (a) i47 (b) 2i154 (c) 2i5 + 3i98 (d) 1 − 3i2 2. Find in simplest x + iy form the expressions: √ (a) 1 + −4 2 (b) 1−3i (c) −9x4 y 2 18x2 y 6 (d) 1 − i + 3 − 2i3 3. Let z = 2 − 2i. Find its complex conjugate z and show that z z = 1. 4. Solve for x in the following radical equations. Be sure to check the solution to make sure that x indeed solves the equation. √ 2 (a) √3x − 1 = √ (b) √2x + 4 = 2 − 6x (c) −x − 2 = x + 4 (d) 1 x−2 = 3 4−2x 5. For each of the quadratic equations below, use the method of Completing the Square to ﬁnd the roots (zeros). (a) x2 + 8x + 2 = 0 (b) 3x2 + 9x + 2 = 0 (c) x2 + x + 1 = 0 (d) 2x2 + 7x + 4 = 0 6. Please answer #1 − 12 on the ﬁrst page of the review for Midterm II. You can start these as soon as possible and if there are questions can ask in class on Tuesday before this homework is due. ...
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## This note was uploaded on 04/18/2010 for the course MAP 103 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.

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