02_4258_Key

# 02_4258_Key - (2 points) 1 x-3 + 3 x + 3 = 6 x x 2-9 1 x-3...

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MAC 1147 (4258) - Quiz #2 Name: Key For full credit, you must show all work and circle your ﬁnal answer. 1 Write the rational expression in simplest form. Hint: Don’t forget to specify domain restrictions, if any. (1 point) 9 x 2 + 9 x 2 x + 2 9 x 2 + 9 x 2 x + 2 = 9 x ( x + 1) 2( x + 1) = 9 x 2 , x 6 = - 1 . 2 Find all solutions of the equation. Check your solutions in the original equation. Identity which solutions are extraneous, if any. (2 points) x = 3 x + 1 2 x = 3 x + 1 2 Z = 2 x 2 = 6 + x Z = 2 x 2 - x - 6 = 0 Z = (2 x + 3)( x - 2) = 0 Z = x = - 3 2 , 2 . Check: 3 - 3 2 + 1 2 = - 2 + 1 2 = - 3 2 . X Check: 3 2 + 1 2 = 2 . X 3 Find all solutions of the equation. Check your solutions in the original equation. Identity which solutions are extraneous, if any.
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Unformatted text preview: (2 points) 1 x-3 + 3 x + 3 = 6 x x 2-9 1 x-3 + 3 x + 3 = 6 x x 2-9 Z = ( x 2 + 9) 1 x-3 + 3 x + 3 = ( x 2 + 9) 6 x x 2-9 Z = ( x + 3) + 3( x-3) = 6 x Z = 4 x-6 = 6 x Z = 2 x =-6 Z = x =-3 . Check: 1 (-3)-3 + 3 (-3) + 3 = 6(-3) (-3) 2-9 Z = 1-6 + 3 =-18 ... undened! Therefore, no solutions. University of Florida Honor Code: On my honor, I have neither given nor received unauthorized aid in doing this assignment. Signature...
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## This note was uploaded on 12/27/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.

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