document.write( "Question 283295: 1. the product of two consecutive integers is 600.find the integers.(show working out)
\n" ); document.write( "2. the product of two consecutive even integers is 1848.find the integers.(show working out)
\n" ); document.write( "3.two positive integers differ by 12 and their product is 405.find the integers.(show working out)\r
\n" ); document.write( "\n" ); document.write( "topic is quadratic equations
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Algebra.Com's Answer #205646 by oberobic(2304)\"\" \"About 
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
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