The symmetric system of equations means solutions for x and y are interchangeable. √x + √y = 10 { sum } √(x*y) = 10 { product } z² - 10*z + 10 = 0 z = 5 ± √15 z² = 40 ± 10*√15 ∴ (x, y) = (40 ± 10*√15, 40 ∓ 10*√15) Note: z = a, b (z - a)*(z - b) = 0 z² - (a + b)*z + a*b = 0
The symmetric system of equations means solutions for x and y are interchangeable.
√x + √y = 10 { sum }
√(x*y) = 10 { product }
z² - 10*z + 10 = 0
z = 5 ± √15
z² = 40 ± 10*√15
∴ (x, y) = (40 ± 10*√15, 40 ∓ 10*√15)
Note:
z = a, b
(z - a)*(z - b) = 0
z² - (a + b)*z + a*b = 0
does it work for ANY x and y?