document.write( "Question 283295: 1. the product of two consecutive integers is 600.find the integers.(show working out)
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document.write( "2. the product of two consecutive even integers is 1848.find the integers.(show working out)
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document.write( "3.two positive integers differ by 12 and their product is 405.find the integers.(show working out)\r
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document.write( "topic is quadratic equations \n" );
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Algebra.Com's Answer #205646 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! 1. Two consecutive integers are best shown as: x and x+1. \n" ); document.write( "(x)(x+1) = 600 \n" ); document.write( "x^2 + x -600 = 0 \n" ); document.write( "(x+25)(x-24) = 0 \n" ); document.write( "x=-25 or x=24 \n" ); document.write( "Answer: \n" ); document.write( "The two consecutive integers are either 24 & 25 or -25 & -24. \n" ); document.write( "... \n" ); document.write( "2. Two consecutive even integers are best shown as: x and x+2. \n" ); document.write( "(x)(x+2) = 1848 \n" ); document.write( "x^2+2x-1848 = 0 \n" ); document.write( "(x+44)(x-42) = 0 \n" ); document.write( "x = -44 or x=42 \n" ); document.write( "Answer: \n" ); document.write( "The consecutive even integers are either -44 and -42 or 42 and 44. \n" ); document.write( "... \n" ); document.write( "3. Two positive integers differ by 12 is best shown as: x and x+12 \n" ); document.write( "(x)(x+12)=405 \n" ); document.write( "x^2 + 12x -405 = 0 \n" ); document.write( "(x+27)(x-15) = 0 \n" ); document.write( "x=-27 or x=15 \n" ); document.write( "BUT we are told positive numbers only, \n" ); document.write( "x = 15 and x+12 = 27 \n" ); document.write( "... \n" ); document.write( "Done \n" ); document.write( " |