document.write( "Question 789558: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle.
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document.write( "x^2+y^2−10x−4y+13=0 \n" );
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Algebra.Com's Answer #478948 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. \n" ); document.write( "*** \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( " \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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |