Question

{х^2 +у^2 =5 {6х + 5у =-4 Смотреть ответ gaga04 gaga04 { x² + у² = 5 { 6х + 5у = -4 6x + 5y = -4 5y = -4 - 6x y = (-4 - 6x) / 5 x² + (-4 - 6x)² = 5 x² + 16 + 48x + 36x² = 5 37x² + 48x + 11 = 0 D = 2304 - 1628 = 676 = 26² x = (-48 ± 26) / 74 х1 = -1 => у1 = 0.4 х2 = -11/37 => у2 = 212/37 = 5+27/37 Ответ: (-1; 0.4); (-11/37; 5+27/37).

Answer 1

Solving the System of Equations

To solve the system of equations:

x^2 + y^2 = 5 6x + 5y = -4

we can use the method of substitution or elimination. Let's use the substitution method.

From the second equation, we can express x in terms of y:

6x = -4 - 5y x = (-4 - 5y) / 6

Substituting this value of x into the first equation:

((-4 - 5y) / 6)^2 + y^2 = 5

Simplifying this equation will give us the values of y.