The equation of circle a is x ^ 2 + y ^ 2 = 20, and the equation of circle B is (x-radical 5) ^ 2 + (y-radical 5) ^ 2 = 5. What is the intersection coordinate of two circles

The equation of circle a is x ^ 2 + y ^ 2 = 20, and the equation of circle B is (x-radical 5) ^ 2 + (y-radical 5) ^ 2 = 5. What is the intersection coordinate of two circles

By subtracting the two equations, we can get: 2 √ 5x-5 + 2 √ 5y-5 = 15, that is, x + y = 5 √ 5 / 2, and substituting y = 5 √ 5 / 2-x into equation 1: x ^ 2 + (5 √ 5 / 2-x) ^ 2 = 202x ^ 2-5 √ 5x + 45 / 4 = 0x1 = (5 √ 5 + √ 35) / 4, X2 = (5 √ 5 - √ 35) / 4, so Y1 = (5 √ 5 - √ 35) / 4, y2 = (5 √ 5 + √ 35) / 4 (x1, Y1), (X2, Y2) are two intersections