Find the x and y Intercepts x^2+y^2=4

Problem

x2+y2=4

Solution

1. Find the x-intercepts by setting y=0 in the equation.

x2+0=4

x2=4

x=±√(,4)

x=±2

2. Identify the x-intercept points based on the calculated values.

x-intercepts: *(2,0),(−2,0)

3. Find the y-intercepts by setting x=0 in the equation.

0+y2=4

y2=4

y=±√(,4)

y=±2

4. Identify the y-intercept points based on the calculated values.

y-intercepts: *(0,2),(0,−2)

Final Answer

x-intercepts: *(±2,0), y-intercepts: *(0,±2)

Want more problems? Check here!