document.write( "Question 985658: Please solve:
\n" ); document.write( "Given that the root of ax^2+bx+2=0 is 2-\"sqrt%282%29\", find the values of a and b, and the other root. (assume a and b are integers) \r
\n" ); document.write( "\n" ); document.write( "Thanks.
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Algebra.Com's Answer #606534 by MathTherapy(10551)\"\" \"About 
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\n" ); document.write( "Please solve:
\n" ); document.write( "Given that the root of ax^2+bx+2=0 is 2-\"sqrt%282%29\", find the values of a and b, and the other root. (assume a and b are integers) \r
\n" ); document.write( "\n" ); document.write( "Thanks.
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Since one root is: \"2+-+sqrt%282%29\", then other root is: \"highlight_green%282+%2B+sqrt%282%29%29\"
\n" ); document.write( "Sum of roots: \"2+-+sqrt%282%29+%2B+2+%2B+sqrt%282%29\" = 4
\n" ); document.write( "Sum of roots: \"-+b%2Fa\", so \"-+b%2Fa+=+4\" --------- eq (i)\r
\n" ); document.write( "\n" ); document.write( "Product of roots: \"%282+-+sqrt%282%29%29%282+%2B+sqrt%282%29%29\" -----> 4 - 2, or 2
\n" ); document.write( "Product of roots: \"c%2Fa\", so \"c%2Fa+=+2\"_____\"2%2Fa+=+2\"_____\"2a+=+2\"______\"highlight_green%28a+=+1%29\"
\n" ); document.write( "\"-+b%2F1+=+4\" ---------- Substituting 1 for a in eq (i)
\n" ); document.write( "- b = 4 ---------- Cross-multiplying
\n" ); document.write( "\"highlight_green%28b+=+-+4%29\" \n" ); document.write( "
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