document.write( "Question 174369: hello. please help me with these.. ( ' means exponet # after)\r
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\n" ); document.write( "\n" ); document.write( "Solve each equation.\r
\n" ); document.write( "\n" ); document.write( "1. 2x'3 – 5x'2 – 3x + 2 = 2\r
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\n" ); document.write( "\n" ); document.write( "2. x'3 + 64 = 0 \r
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\n" ); document.write( "\n" ); document.write( "3. x4 – 8x'2 – 9 = 0\r
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Algebra.Com's Answer #129328 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Solve:
\n" ); document.write( "1) \"2x%5E3-5x%5E2-3x%2B2+=+2\" Subtract 2 from both sides.
\n" ); document.write( "\"2x%5E3-5x%5E2-3x+=+0\" Factor an x from the left side.
\n" ); document.write( "\"x%282x%5E2-5x-3%29+=+0\" Factor the the parentheses.
\n" ); document.write( "\"x%282x%2B1%29%28x-3%29+=+0\" Apply the zero product rule.
\n" ); document.write( "\"x+=+0\" or \"2x%2B1+=+0\" or \"x-3+=+0\", so...
\n" ); document.write( "\"highlight%28x+=+0%29\"
\n" ); document.write( "\"highlight%28x+=+-1%2F2%29\"
\n" ); document.write( "\"highlight%28x+=+3%29\"
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\n" ); document.write( "2) \"x%5E3%2B64+=+0\" This is a sum of cubes.
\n" ); document.write( "\"%28x%29%5E3%2B%284%29%5E3+=+0\" This can be solved thus:\"A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29\"
\n" ); document.write( "\"%28x%2B4%29%28x%5E2-4x%2B16%29+=+0\" Applying the zero product rule:
\n" ); document.write( "\"x%2B4+=+0\" or \"x%5E2-4x%2B16+=+0\"
\n" ); document.write( "\"highlight%28x+=+-4%29\" or
\n" ); document.write( "\"x+=+%28-%28-4%29%2B-sqrt%28%284%29%5E2-4%281%29%2816%29%29%29%2F2%281%29\"
\n" ); document.write( "\"x+=+%284%2B-sqrt%28-48%29%29%2F2\"
\n" ); document.write( "\"x+=+%284%2B-sqrt%2816%2A%28-3%29%29%29%2F2\"
\n" ); document.write( "\"x+=+2%2B2sqrt%28-3%29\" or \"x+=+2-2sqrt%28-3%29\" and these can be expressed in terms of i, as:
\n" ); document.write( "\"highlight%28x+=+2%2B2sqrt%283%29i%29\" or \"highlight%28x+=+2-2sqrt%283%29i%29\"
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\n" ); document.write( "3) \"x%5E4-8x%5E2-9+=+0\" Rewrite in terms of \"x%5E2\"
\n" ); document.write( "\"%28x%5E2%29%5E2-8%28x%5E2%29-9+=+0\" Factor this.
\n" ); document.write( "\"%28x%5E2%2B1%29%28x%5E2-9%29+=+0\" Apply the zero product rule:
\n" ); document.write( "\"x%5E2%2B1+=+0\" or \"x%5E2-9+=+0\", so...
\n" ); document.write( "\"x%5E2+=+-1\" Take the square root of both sides.
\n" ); document.write( "\"x+=+sqrt%28-1%29\" or \"x+=+-sqrt%28-1%29\" or, in terms of i,
\n" ); document.write( "\"highlight%28x+=+i%29\" or \"highlight%28x+=+-i%29\"
\n" ); document.write( "\"x%5E2-9+=+0\"
\n" ); document.write( "\"x%5E2+=+9\" Take the square root of both sides.
\n" ); document.write( "\"highlight%28x+=+3%29\" or \"highlight%28x+=+-3%29\"
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