Expression 8: 3 "x" squared minus 10 "x" "y" minus 14 "x" plus 3 "y" squared plus 2 "y" plus 1 equals 03x2−10xy−14x+3y2+2y+1=0
8
Expression 9: "A" "x" squared plus "B" "x" "y" plus "C" "y" squared plus "D" "x" plus "E" "y" plus "F" equals 0Ax2+Bxy+Cy2+Dx+Ey+F=0
9
Hidden Label: "a" equals StartFraction, negative StartRoot, 2 left parenthesis, "A" "E" squared plus "C" "D" squared minus "B" "D" "E" plus left parenthesis, "B" squared minus 4 "A" "C" , right parenthesis "F" , right parenthesis left parenthesis, left parenthesis, "A" plus "C" , right parenthesis plus StartRoot, left parenthesis, "A" minus "C" , right parenthesis squared plus "B" squared , EndRoot , right parenthesis , EndRoot Over "B" squared minus 4 "A" "C" , EndFractiona=−2AE2+CD2−BDE+B2−4ACFA+C+A−C2+B2B2−4AC
Label
equals=
negative 1.7 3 2 0 5 0 8 1−1.73205081
10
Hidden Label: "b" equals StartFraction, negative StartRoot, 2 left parenthesis, "A" "E" squared plus "C" "D" squared minus "B" "D" "E" plus left parenthesis, "B" squared minus 4 "A" "C" , right parenthesis "F" , right parenthesis left parenthesis, left parenthesis, "A" plus "C" , right parenthesis minus StartRoot, left parenthesis, "A" minus "C" , right parenthesis squared plus "B" squared , EndRoot , right parenthesis , EndRoot Over "B" squared minus 4 "A" "C" , EndFractionb=−2AE2+CD2−BDE+B2−4ACFA+C−A−C2+B2B2−4AC
Label
equals=
negative 0.8 6 6 0 2 5 4 "i"−0.8660254i
11
Expression 12: StartFraction, "x" squared Over "a" squared , EndFraction plus StartFraction, "y" squared Over "b" squared , EndFraction equals 1x2a2+y2b2=1