document.write( "Question 775320: Find the coordinates of the points lying on the x-axis, P (x, 0), when the distance between points P and A (3, 4 ) is 5 \n" ); document.write( "
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Q:
\n" ); document.write( "Find the coordinates of the points lying on the x-axis, P (x, 0), when the distance between points P and A (3, 4 ) is 5
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\n" ); document.write( "A:
\n" ); document.write( "Using distance formula:
\n" ); document.write( "\"sqrt%28%28x-3%29%5E2%2B%280-4%29%5E2%29+=+5\", square both sides
\n" ); document.write( "\"%28x-3%29%5E2+%2B+16+=+25\"
\n" ); document.write( "\"%28x-3%29%5E2+=+9\", get the square roots of both sides
\n" ); document.write( "x - 3 = ±3
\n" ); document.write( "x - 3 = 3 OR x - 3 = -3
\n" ); document.write( "x = 6 OR 0
\n" ); document.write( "Answers: (6,0) and (0,0) \n" ); document.write( "
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