document.write( "Question 415798: Use the equation: ((1)/(2x+6)) + ((x)/(4))=((2x)/(x^2+3x+2))
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document.write( "a. Multiply each side by the LCD. Write the equation as a polynomial equation p(x)=0.\r
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document.write( "b. Show that the polynomial p(x) on the left side of the equation from part (a.) is the square of a trinomial of the form x^2+Bx+C.\r
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document.write( "c. What are the solutions to the equation.\r
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document.write( "I would really appreciate help on this, the whole question just confuses me. Thanks! :) \n" );
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Algebra.Com's Answer #291432 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Use the equation: ((1)/(2x+6)) + ((x)/(4))=((2x)/(x^2+3x+2)) \n" ); document.write( "Factor the denominators: \n" ); document.write( "x/[2(x+3)] + x/4 = (2x)/[(x+2)(x+1) \n" ); document.write( "LCD = 4x(x+1)(x+2)(x+3) \n" ); document.write( "---------------------------------- \n" ); document.write( "a. Multiply each side by the LCD. \n" ); document.write( "x[4(x+1)(x+2)(x+3)] + [x[x(x+1)(x+2)(x+3)] = (2x)[4x(x+3)] \n" ); document.write( "------------------------------- \r \n" ); document.write( "\n" ); document.write( "Write the equation as a polynomial equation p(x)=0. \n" ); document.write( "x[4(x+1)(x+2)(x+3)] + [x[x(x+1)(x+2)(x+3)] - (2x)[4x(x+3)] = 0 \n" ); document.write( "--------------------- \n" ); document.write( " \n" ); document.write( "b. Show that the polynomial p(x) on the left side of the equation from part (a.) is the square of a trinomial of the form x^2+Bx+C. \n" ); document.write( "--- \n" ); document.write( "I'll leave that to you. \n" ); document.write( "Square (x^2+Bx+C) and compare it to the left side term by term. \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========================= \n" ); document.write( " \n" ); document.write( " |