document.write( "Question 271999: Find the possible values of r in this equation\r
\n" ); document.write( "\n" ); document.write( "r^2 -7r -8=0
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Algebra.Com's Answer #199125 by jsmallt9(3758)\"\" \"About 
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\"r%5E2+-7r+-8=0\"
\n" ); document.write( "This is a quadratic equation (because of the \"r%5E2\" term). So we want a zero on one side (which we already have) and then we either factor the other side or use the Quadratic Formula. I prefer factoring when possible and this equation factors fairly easily. As a trinomial with a 1 in front of the squared term, this can be factored by answering the question: \"What factors of the number at the end (-8) that add up to the coefficient in the middle (-7)?\" With a little thought and perhaps some trial and error, we should find that the only pair of factors of -8 that add up to -7 are: -8 and 1. So the equation factors into:
\n" ); document.write( "\"%28r-8%29%28r%2B1%29+=+0\"
\n" ); document.write( "From the Zero Product Property we know that this product can only be zero if one of the factors is zero. So:
\n" ); document.write( "\"r-8+=+0\" or \"r%2B1+=+0\"
\n" ); document.write( "Solving these we get:
\n" ); document.write( "\"r+=+8\" or \"r+=+-1\"
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