Final answer:
To solve the equation (x+3)²+(y-1)² = 17, start by expanding the squares and combining like terms. Simplify to get a quadratic equation in two variables. Additional information or equations are needed to solve for x and y.
Step-by-step explanation:
To solve the equation (x+3)²+(y-1)² = 17, we can start by expanding the squares and combining like terms:
x² + 6x + 9 + y² - 2y + 1 = 17
Simplifying further:
x² + 6x + y² - 2y - 7 = 0
Now, we have a quadratic equation in two variables. To solve for one of the variables, we need more information or another equation. If we have another equation involving x and y, we can substitute the value of one variable into the other equation to solve for the other variable.