document.write( "Question 100479: Let x(1) and x(2) be the real solutions to the equation
\n" ); document.write( "x^2-sqrt(11)x+2=0\r
\n" ); document.write( "\n" ); document.write( "Then the sum x(1)+x(2) is equal to ?\r
\n" ); document.write( "\n" ); document.write( "I have the answer, but have no idea how to get to it.
\n" ); document.write( "I think the two solutions are:
\n" ); document.write( "1/2(-sqrt(2) + sqrt(11); converted to decimals: 0.951206
\n" ); document.write( "and
\n" ); document.write( "1/2 (sqrt(2) + sqrt(11); converted to decimals: 2.3654\r
\n" ); document.write( "\n" ); document.write( "So x(1)+x(2) = 3.316627\r
\n" ); document.write( "\n" ); document.write( "How to work this out? Squaring? (How?), Factoring (How?) \n" ); document.write( "

Algebra.Com's Answer #73185 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
x^2-sqrt(11)x+2=0
\n" ); document.write( "Use the quadratic formula to get:\r
\n" ); document.write( "\n" ); document.write( "x = [sqrt(11) +- sqrt(11-4*2)]/2\r
\n" ); document.write( "\n" ); document.write( "x = [sqrt(11) +- sqrt(3)]/2\r
\n" ); document.write( "\n" ); document.write( "x1 = [sqrt(11) + sqrt(3)]/2
\n" ); document.write( "x2 = [sqrt(11) - sqrt(3)]/2
\n" ); document.write( "---------
\n" ); document.write( "x1+x2 = sqrt(11)
\n" ); document.write( "==============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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