document.write( "Question 1005957: if (3-x)+(6)+(7-5x) is a geometric series, find the two possible values for x, the common ratio and the sum of GP \n" ); document.write( "
Algebra.Com's Answer #622176 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
The three TERMS for the series are shown.
\n" ); document.write( "Successive ratios must be equal.\r
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\n" ); document.write( "\n" ); document.write( "\"highlight_green%28%287-5x%29%2F6=6%2F%283-x%29%29\", the successive ratios
\n" ); document.write( "\"%287-5x%29%283-x%29=36\"
\n" ); document.write( "\"21-15x-7x%2B5x%5E2-36=0\"
\n" ); document.write( "\"5x%5E2-22x%2B21-36=0\"
\n" ); document.write( "\"5x%5E2-22x-15=0\"\r
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\n" ); document.write( "\n" ); document.write( "General solution formula for a quadratic equation gives
\n" ); document.write( "\"x=%2822%2B-+sqrt%2822%5E2-4%2A5%2A%28-15%29%29%29%2F%282%2A5%29\"
\n" ); document.write( "\"x=%2822%2B-+sqrt%2822%5E2%2B20%2A15%29%29%2F%282%2A5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%2822%2B-+sqrt%28784%29%29%2F10\"
\n" ); document.write( "\"x=%2822%2B-+28%29%2F10\"
\n" ); document.write( "\"x=%2811%2B-+14%29%2F5\"
\n" ); document.write( "\"highlight%28x=-3%2F5%29\" OR \"highlight%28x=5%29\"
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