document.write( "Question 895413: The centre of a circle is (2x-1, 3x + 1). Find x if the circle passes through (-3,-1) and the length of its diameter is 20 unit.
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Algebra.Com's Answer #542803 by MathTherapy(10552)\"\" \"About 
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The centre of a circle is (2x-1, 3x + 1). Find x if the circle passes through (-3,-1) and the length of its diameter is 20 unit.
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\n" ); document.write( "Center-radius equation of a circle: \"%28x+-+h%29%5E2+%2B+%28y+-+k%29%5E2+=+r%5E2\", with:
\n" ); document.write( "(x, y) being: (\"-+3\", \"-+1\")
\n" ); document.write( "(h, k) being: (\"2x+-+1\", \"3x+%2B+1\"), and
\n" ); document.write( "r, or radius being: 10
\n" ); document.write( "\"%28x+-+h%29%5E2+%2B+%28y+-+k%29%5E2+=+r%5E2\" becomes: \"%28-+3+-+%282x+-+1%29%29%5E2+%2B+%28-+1+-+%283x+%2B+1%29%29%5E2+=+10%5E2\"____Substituting values into center-radius equation of a circle
\n" ); document.write( "\"%28-+3+-+2x+%2B+1%29%5E2+%2B+%28-+1+-+3x+-+1%29%5E2+=+10%5E2\"
\n" ); document.write( "\"%28-+2x+-+2%29%5E2+%2B+%28-+3x+-+2%29%5E2+=+10%5E2\"
\n" ); document.write( "\"4x%5E2+%2B+8x+%2B+4+%2B+9x%5E2+%2B+12x+%2B+4+=+100\"
\n" ); document.write( "\"4x%5E2+%2B+9x%5E2+%2B+8x+%2B+12x+%2B+4+%2B+4+-+100+=+0\"
\n" ); document.write( "\"13x%5E2+%2B+20x+-+92+=+0\"
\n" ); document.write( "\"13x%5E2+%2B+46x+-+26x+-+92+=+0\"
\n" ); document.write( "\"x%2813x+%2B+46%29+-+2%2813x+%2B+46%29+=+0\"
\n" ); document.write( "\"%28x+-+2%29%2813x+%2B+46%29+=+0\"
\n" ); document.write( "\"highlight_green%28highlight_green%28x+=+2%29%29\" OR \"highlight_green%28highlight_green%28x+=+-+46%2F13%29%29\"
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