Решите графически систему уравнений
х²+у²=16
2х+у=5

(x1, y1) = (10+√55/5, 5-2√55 /5)

(x2, y2) = (10-√55/5, 5+2√55 /5)

Объяснение:

x^2 + y^2=16

2x + y=5

x^2 + y^2 = 16

y= 5-2x

x^2 +(5-2x)^2 = 16

x=10+√55 /5

x=10-√55 /5

y=5-2*10+√55 /5

y=5-2*10-√55 /5

y=5-2√55 /5

y=5+2√55 /5

(x1, y1) =(10+√55 /5, 10-√55 /5)

(x2, y2) =(10-√55 /5, 10+√55 /5)

(10+√55 /5) ^2, (5-2√55 /5) ^2 =16

2*10+√55 /5 + 5-2√55 /5 =5

(10-√55 /5) ^2, (5+2√55 /5) ^2 =16

2*10-√55 /5 + 5+2√55 /5 =5

16=16 16=16

5=5 5=5

(x1, y1) = (10+√55/5, 5-2√55 /5)

(x2, y2) = (10-√55/5, 5+2√55 /5)