Question

{x+y=14
${x {2} + y {2} = 100$
​

Answer 1

x + y = 14, y = 14 - x.
x² + y² = 100,
x² + (14 - x)² = 100,
x² + x² - 28•x + 14² = 100,
2 •x² - 28•x + 96 = 0,
x² - 14•x + 48 = 0.
Дискриминант:D = 14² - 4•48 = 196 - 192 = 4.
x1 = (14 - 2):2 = 6, x2 = (14 + 2):2 = 8
y1 = 14 - x1 = 14 - 6 = 8,
y2 = 14 - x2 = 14 - 8 = 6.
2 жауап:{6, 8} и {8, 6}.
Жауабы:: {6, 8} и {8, 6}.