document.write( "Question 719865: Hello can someone show me how to write the square root of -9 +8 (which is not under the square root sign as a comples number in standard form.\r
\n" ); document.write( "\n" ); document.write( "and is x^2-x-1 a prime quadratic .what is a prime qudratic.Thanks
\n" ); document.write( "

Algebra.Com's Answer #441682 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%28-9%29%2B8\"
\n" ); document.write( "\"sqrt%289%2A%28-1%29%29%2B8\"
\n" ); document.write( "\"sqrt%289%29%2Asqrt%28-1%29%2B8\"
\n" ); document.write( "3*i+8
\n" ); document.write( "8 + 3i

\n" ); document.write( "If the discriminant, \"b%5E2-4ac\", is a perfect square then the quadratic will factor (i.e. it is not prime). If the discriminant is not a perfect square then the quadratic is prime.

\n" ); document.write( "For \"x%5E2-x-1\" the discriminant is:
\n" ); document.write( "\"%28-1%29%5E2-4%281%29%28-1%29+=+1-4%281%29%28-1%29+=+1%2B4+=+5\"
\n" ); document.write( "5 is not a perfect square so \"x%5E2-x-1\" is prime.
\n" ); document.write( "
\n" );