document.write( "Question 1118033: If sqrt(5)= 2+ 1/a, show that a= 4+1/a \n" ); document.write( "
Algebra.Com's Answer #733259 by MathTherapy(10552)\"\" \"About 
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If sqrt(5)= 2+ 1/a, show that a= 4+1/a
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\"matrix%281%2C3%2C+sqrt%285%29%2C+%22=%22%2C+2+%2B+1%2Fa%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C+a+%2A+sqrt%285%29%2C+%22=%22%2C+2a+%2B+1%29\" --------- Multiplying by LCD, a\r\n" );
document.write( "\"matrix%281%2C3%2C+5a%5E2%2C+%22=%22%2C+4a%5E2+%2B+4a+%2B+1+%29\" ---- Squaring each side\r\n" );
document.write( "\"matrix%281%2C3%2C+a%5E2%2C+%22=%22%2C+4a+%2B+1%29\"\r\n" );
document.write( "\"highlight_green%28matrix%281%2C3%2C+a%2C+%22=%22%2C+4+%2B+1%2Fa%29%29\" ------- Dividing by a
OR\r\n" );
document.write( "
\"matrix%281%2C3%2C+sqrt%285%29%2C+%22=%22%2C+2+%2B+1%2Fa%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C+5%2C+%22=%22%2C+4+%2B+4%2Fa+%2B+1%2Fa%5E2%29\" ---- Squaring each side\r\n" );
document.write( "\"matrix%281%2C3%2C+1%2C+%22=%22%2C+4%2Fa+%2B+1%2Fa%5E2%29\"\r\n" );
document.write( "\"highlight_green%28matrix%281%2C3%2C+a%2C+%22=%22%2C+4+%2B+1%2Fa%29%29\" ------- Multiplying by a
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