document.write( "Question 948572: Please help me answer this question: Show that for all real values of 'a' greater than 4. X^2-2X+a=3 will have non-real roots. \n" ); document.write( "

Algebra.Com's Answer #579006 by josgarithmetic(39617) $\"\"$ $\"About$

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Put equation into general form and use discriminant less than zero. Solve for a.\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2-2x%2B%28a-3%29=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "-
\n" ); document.write( "Discriminant required
\n" ); document.write( " $\"%28-2%29%5E2-4%2A1%2A%28a-3%29%3C0\"$
\n" ); document.write( " $\"4-4%28a-3%29%3C0\"$
\n" ); document.write( " $\"1-%28a-3%29%3C0\"$
\n" ); document.write( " $\"1-a%2B3%3C0\"$
\n" ); document.write( " $\"4-a%3C0\"$
\n" ); document.write( " $\"a-4%3E0\"$ multiplied by NEGATIVE 1.
\n" ); document.write( " $\"a%3E4\"$ ----------shown. \n" ); document.write( "

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