Q5 - 2 x 2 + 8 x + 12 = 0 . 5. Complete the square on the...

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Problem 1 2 3 4 5 Bonus: Total: Points 20 20 20 20 20 10 100+10 Scores MAP 103: Proﬁciency Algebra, Quiz #5, Fall 2009 Name Id# Nov. 5, 2009 1. (a) Rewrite with fractional exponents the expression: 3 p 64 x 4 y 2 z 5 . (b) Rewrite without fractional exponents the expression: 8 1 / 2 x 2 / 3 y 3 / 2 z 1 / 2 . 2. Solve for x and check: x + 5 = x + 3 . 3. (a) Express in simplest x + i y form the complex number i 4 + 2 i 5 + 3 i 6 . (b) Given z = 1 - i , ﬁnd the complex conjugate z, and show that z z = 1 .

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4. Use the method of Completing the Square to ﬁnd the roots to the quadratic equation
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Unformatted text preview: 2 x 2 + 8 x + 12 = 0 . 5. Complete the square on the quadratic equation ax 2 + bx + c = 0 for a 6 = 0 to derive the quadratic formula. Bonus (+10 Points): Consider the quadratic equation x 2-px +1 = 0 . If p R , describe the nature of the roots. Show all three cases p < ,p = 0 ,p > ....
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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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Q5 - 2 x 2 + 8 x + 12 = 0 . 5. Complete the square on the...

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