document.write( "Question 609449: ) List the members of each of the sets below:\r
\n" ); document.write( "\n" ); document.write( "(i) { x:x is a square of an integer and 100\n" ); document.write( "(ii) {x:x is a solution of the equation x^2 - 6x +4 = 0}
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #383793 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
i) Since
\n" ); document.write( " $\"11%5E2+=+121\"$
\n" ); document.write( " $\"12%5E2+=+144\"$
\n" ); document.write( " $\"13%5E2+=+169\"$
\n" ); document.write( " $\"14%5E2+=+196\"$
\n" ); document.write( " $\"15%5E2+=+225\"$
\n" ); document.write( " $\"16%5E2+=+256\"$
\n" ); document.write( " $\"17%5E2+=+289\"$
\n" ); document.write( "The set would be {11, 12, 13, 14, 15, 16, 17}}}

\n" ); document.write( "ii) $\"x%5E2-6x%2B4+=+0\"$
\n" ); document.write( "Using the Quadratic Formula we get:
\n" ); document.write( " $\"x+=+%28-%28-6%29+%2B-+sqrt%28%28-6%29%5E2+-+4%281%29%284%29%29%29%2F2%281%29\"$
\n" ); document.write( "which simplifies as follows:
\n" ); document.write( " $\"x+=+%28-%28-6%29+%2B-+sqrt%2836+-+4%281%29%284%29%29%29%2F2%281%29\"$
\n" ); document.write( " $\"x+=+%28-%28-6%29+%2B-+sqrt%2836+-+16%29%29%2F2%281%29\"$
\n" ); document.write( " $\"x+=+%28-%28-6%29+%2B-+sqrt%2820%29%29%2F2%281%29\"$
\n" ); document.write( " $\"x+=+%286+%2B-+sqrt%2820%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%286+%2B-+sqrt%284%2A5%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%286+%2B-+sqrt%284%29%2Asqrt%285%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%286+%2B-+2%2Asqrt%285%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%282%283+%2B-+sqrt%285%29%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%28cross%282%29%283+%2B-+sqrt%285%29%29%29%2Fcross%282%29\"$
\n" ); document.write( " $\"x+=+3+%2B-+sqrt%285%29\"$
\n" ); document.write( "So the solution set is { $\"3+%2B+sqrt%285%29\"$ , $\"3+-+sqrt%285%29\"$ } \n" ); document.write( "

\n" );