complete the square fr x and y's sepreatly to get into form (x-h)²+(y-k)²=r² the center is (h,k) and radius is r
so
group x's and y's seperatly (4x²-10x)+(4y²+24y)+133/4=0 undistribute leading confident from each 4(x²-2.5x)+4(y²+6y)+133/4=0 take 1/2 of each linear confident and square it and add negative and positive inside the parenthasees -2.5/2=-1.25 (-1.25)²=1.5625 6/2=3, 3²=9 4(x²-2.5x+1.5625-1.5625)+4(y²+6y+9-9)+133/4=0 factor perfect squares 4((x-1.25)²-1.5625)+4((y+3)²-9)+133/4=0 expand 4(x-1.25)²-6.25+4(y+3)²-36+133/4=0 4(x-1.25)²+4(y+3)²-9=0 add 9 to both sides 4(x-1.25)²+4(y+3)²=9 divide both sides by 4 (x-1.25)²+(y+3)²=9/4 (x-1.25)²+(y+3)²=(3/2)²
