Question

solve the equation
3r^2+2r-8=0

Answer 1

\[3(r^2+(2/3)r)-8=0\]

Answer 2

\[3(r^2+(3/2)r/2)-8=0\]

Answer 3

\[3(r^2+3/2r+(3/4)^2)-8=0\]

Answer 4

\[3(r^2+3/2r+9/16)-27/16-8=0\]

Answer 5

\[3(r+3/4)^2-155/16=0\]

Answer 6

\[3(r+3/4)^2=155/16\]

Answer 7

\[(r+3/4)^2=\frac{ 155 }{ 16 }/3\]

Answer 8

\[(r+3/4)^2=155/48\]

Answer 9

\[r+3/4=\sqrt{(\frac{ 155 }{ 48 })}\]

Answer 10

\[r=\pm \sqrt{465}/12-3/4\]