 Please help with this math question and show all the work: - XP Math - Forums Sign Up FREE! | Sign In | Classroom Setup | Common Core Alignment  XP Math - Forums Please help with this math question and show all the work: 08-05-2007 #1 Heller Guest   Posts: n/a Please help with this math question and show all the work: -5/2x(x+3)^(-3/2)+5(x+3)^(-1/2)? -5/2x(x+3)^(-3/2)+5(x+3)^(-1/2)-5/2x(x+3)^(-3/2)+5(x+3)^(-1/2) The question says to simplify-5/2x(x+3)^(-1.5)+5(x+3)^(-.5) The question says to simplify  08-05-2007 #2 Oyvind J Guest   Posts: n/a First observe that the second addend (5(x+3)^(-1/2) = 5 / sqrt(x+3)) is a common factor in the two addends.Rewrite the statement:[5 / sqrt(x+3) ] * [1 / (2x + (x+3)^2) +1]Explode the squared parenthesis (x+3)^2:[5 / sqrt(x+3) ] * [1 / (2x + x^2+6x +9) +1]contract the 6x-statement from the explosion with the 2x:[5 / sqrt(x+3) ] * [1 / (x^2+8x +9) +1]Now replace the "+1" with "+ (x^2 + 8x +9) / (x^2 + 8x +9)"and rewrite:[5 / sqrt(x+3) ] * [1 / (x^2+8x +9) + (x^2 + 8x +9) / (x^2 + 8x +9)]The second factor now has a common denominator.Contract the second factor:[5 / sqrt(x+3) ] * [(1+ x^2 + 8x +9) / (x^2 + 8x +9)][5 / sqrt(x+3) ] * [(x^2 + 8x +10) / (x^2 + 8x +9)]and multiply the two factors into a simplified statement:[5 / sqrt(x+3) ] * [(x^2 + 8x +10) / (x^2 + 8x +9)]5 * (x^2 + 8x +10)------------------------------------sqrt(x+3) * (x^2 + 8x +9)](5x^2 + 40x +50) --------------------------------- (x^2 + 8x +9) * sqrt (x+3)Now, use x = [-b +- sqrt(b^2-4ac)] / 2a to factorize the second order statements in the numerator and denominator. I leave that up to you.Good luck. Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Forum Rules
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