document.write( "Question 789558: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle.
\n" ); document.write( "x^2+y^2−10x−4y+13=0
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Algebra.Com's Answer #478948 by lwsshak3(11628)\"\" \"About 
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Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle.
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\n" ); document.write( "Sandard form of equation for a circle: (x-h)^2+(y-k)^2=r^2, (h,k)=(x,y) coorinates of the center, r=radius
\n" ); document.write( "x^2+y^2−10x−4y+13=0
\n" ); document.write( "x^2−10x+y^2−4y+13=0
\n" ); document.write( "complete the square:
\n" ); document.write( "(x^2−10x+25)+(y^2−4y+4)=-13+25+4
\n" ); document.write( "(x-5)^2+(y-2)^2=16
\n" ); document.write( "center:(5,2)
\n" ); document.write( "radius=√16=4
\n" ); document.write( "..
\n" ); document.write( "x-intercepts:
\n" ); document.write( "set y=0
\n" ); document.write( "x^2-10x+13=0
\n" ); document.write( "solve for x by quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=1, b=-10, c=13
\n" ); document.write( "ans:
\n" ); document.write( "x≈1.5359
\n" ); document.write( "or
\n" ); document.write( "x≈8.4641
\n" ); document.write( "..
\n" ); document.write( "y-intercepts:
\n" ); document.write( "set x=0
\n" ); document.write( "y^2-4y+13=0
\n" ); document.write( "a=1, b=-4, c=13
\n" ); document.write( "discriminant=b^2-4ac=16-4*1*13=16-42<0
\n" ); document.write( "y-intercepts: none\r
\n" ); document.write( "\n" ); document.write( "See graph below:\r
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