document.write( "Question 1095507: x^2 + y^2 = 8
\n" ); document.write( "x - y = 2\r
\n" ); document.write( "\n" ); document.write( "My answer is (1 + sqrt5, -1 + sqrt5) and (1 - sqrt5, -1 - sqrt5)
\n" ); document.write( "The textbook's answer is exactly the same, except that instead of sqrt5 it's sqrt3\r
\n" ); document.write( "\n" ); document.write( "How did I get sqrt5 instead of sqrt3? I know it must be some silly mistake, but I've looked and looked and my brain's about fried. \n" ); document.write( "

Algebra.Com's Answer #710038 by ikleyn(52817) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "1.  First, you can easily check your solution.\r\n" );
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document.write( "     +  = \r\n" );
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document.write( "     +  = 1 + 1 + 5 + 5 = 12.\r\n" );
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document.write( "        Is it equal to 8 ? - NO.  \r\n" );
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document.write( "        What does it mean ?  - It means that your solution is incorrect.\r\n" );
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document.write( "2.  Very straightforward way is THIS: From the second equation express x = 2 + y\r\n" );
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document.write( "    and substitute it into first equation.  You will get\r\n" );
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document.write( "     +  = 8.\r\n" );
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document.write( "    It is your quadratic equation for single unknown \"y\".\r\n" );
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document.write( "    Simplify and solve it.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems (your samples), look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Solving the system of algebraic equations of degree 2 and degree 1 \r
\n" ); document.write( "\n" ); document.write( "    - Solving the system of algebraic equations of degree 2 \r
\n" ); document.write( "\n" ); document.write( "in this site.\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 lessons are the part of this online textbook under the topic \"Systems of equations that are not linear\".\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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