document.write( "Question 1011284: If r and s are the roots of x^2 -8x +6 =0, find r^2 + 3rs +s^2. Thank you. \n" ); document.write( "
Algebra.Com's Answer #626908 by MathTherapy(10552)\"\" \"About 
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If r and s are the roots of x^2 -8x +6 =0, find r^2 + 3rs +s^2. Thank you.
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Sum of roots: \"-+b%2Fa\", or \"%28-+-+8%29%2F1\", or 8
\n" ); document.write( "Product of roots: \"c%2Fa\", or \"6%2F1\", or 6
\n" ); document.write( "Therefore, r + s = 8, and rs = 6
\n" ); document.write( "\"%28r+%2B+s%29%5E2+=+r%5E2+%2B+2rs+%2B+s%5E2\", but \"r%5E2+%2B+3rs+%2B+s%5E2+=+%28r+%2B+s%29%5E2+%2B+rs\", so \"r%5E2+%2B+3rs+%2B+s%5E2+=+%288%29%5E2+%2B+6\", or 64 + 6, or \"highlight_green%2870%29\" \n" ); document.write( "
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