document.write( "Question 1118373: if x + 1/x = 6, find the value of x^2 + 1/x^2. \n" ); document.write( "

Algebra.Com's Answer #733677 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "if x + 1/x = 6, find the value of x^2 + 1/x^2.
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document.write( "if   = 6,  then,  squaring both sides, you have\r\n" );
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document.write( " +  +  = 36,   or\r\n" );
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document.write( " +  = 36 - 2 = 34.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The solution is completed.\r
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\n" ); document.write( "\n" ); document.write( "The major lesson to learn from this solution is THIS:\r
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document.write( "    you do not need to solve the original equation explicitly to get the answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "You can find many other similar solved problems in the lesson\r
\n" ); document.write( "\n" ); document.write( " - HOW TO evaluate expressions involving $\"%28x+%2B+1%2Fx%29\"$ , $\"%28x%5E2%2B1%2Fx%5E2%29\"$ and $\"%28x%5E3%2B1%2Fx%5E3%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Evaluation, substitution\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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