Final answer:
To subtract (1)/(144) from both sides of the equation x²-(1)/(6)x+(1)/(144)+y²=(1)/(144), simply perform the operation to get x²-(1)/(6)x+y² = 0, which can be further analyzed or graphed as a conic section.
Step-by-step explanation:
The question asks to subtract (1)/(144) from both sides of the equation x²-(1)/(6)x+(1)/(144)+y²=(1)/(144). This operation will isolate the y² term on one side, possibly preparing the equation for further analysis or for graphing it as a conic section. Since this operation doesn't solve the equation by itself, the next steps might include identifying the type of conic section it represents or completing the square to find the center of a circle.
To subtract (1)/(144) from both sides of the equation, we perform the following steps:
Now the equation can be analyzed further to understand what it represents and how to solve it using methods such as completing the square or the quadratic formula.