The discussion focuses on determining the center and radius of the circle represented by the equation x² + y² - 10x + 2y + 17 = 0. The method of completing the square is confirmed as an effective technique for solving this problem. By rewriting the equation in the form (x² - 10x + ?) + (y² + 2y + ?) = ?, users can easily identify the center and radius of the circle. This approach is straightforward and provides clear results.
PREREQUISITESStudents, educators, and anyone interested in mastering algebraic methods for solving geometric problems, particularly in the context of circles and conic sections.
Yes! Write the equation in the form $(x^2 - 10x +\ ?) + (y^2 + 2y +\ ?) =\ ?$ (choosing the queries so as to complete the squares), and you should be able to read off the answer.RTCNTC said:Determine the center and the radius of circle.
x^2 + y^2 - 10x + 2y + 17 = 0
Can this be done using completing the square?
Opalg said:Yes! Write the equation in the form $(x^2 - 10x +\ ?) + (y^2 + 2y +\ ?) =\ ?$ (choosing the queries so as to complete the squares), and you should be able to read off the answer.