document.write( "Question 644219: If the diagonals of a rectangle are represented by (2x2 – 8x + 17 )m and ( x2 + 2x – 7 )m, find the value of x. How long is each diagonal? \n" ); document.write( "
Algebra.Com's Answer #404899 by MathLover1(20850)\"\" \"About 
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The diagonals of a rectangle are congruent.\r
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\n" ); document.write( "\n" ); document.write( "\"%282x%5E2-8x%2B17%29m=%28x%5E2%2B2x-7%29m\"\r
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\n" ); document.write( "\n" ); document.write( "\"%282x%5E2-8x%2B17%29cross%28m%29=%28x%5E2%2B2x-7%29cross%28m%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E2-8x%2B17=x%5E2%2B2x-7\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%5E2-8x%2B17-x%5E2-2x%2B7=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-10x%2B24=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%28-10%29+%2B-+sqrt%28+%28-10%29%5E2-4%2A1%2A24+%29%29%2F%282%2A1%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+%2B-+sqrt%28100-96+%29%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+%2B-+sqrt%284+%29%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+%2B-+2%29%2F2+\"...find solutions\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+%2B+2%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+12%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+6+\"\r
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\n" ); document.write( "\n" ); document.write( "or\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+-+2%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+8%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+4\"\r
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