document.write( "Question 1121501: M is the midpoint of line segment AB. If AM=2x^2+16, AB=6x^2,find AB. \n" ); document.write( "

Algebra.Com's Answer #737399 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "2*|AM| = |AB|     (the lengths)\r\n" );
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document.write( "2*(2x^2+16) = 6x^2\r\n" );
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document.write( "4x^2 + 32 = 6x^2\r\n" );
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document.write( "32 = 2x^2\r\n" );
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document.write( "x^2 = 32/2 = 16\r\n" );
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document.write( "x =  = 4.\r\n" );
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document.write( "|AB| =  = 6*16 = 96.\r\n" );
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