Question

x + y = 11, xy = 24;​

Answer 1

Ответ:

Объяснение:

По обр.т.Виета:

х+у=11

ху=24

х=8

у=3

Answer 2

We can solve for x and y using the following steps:

1. Use the first equation to solve for one variable in terms of the other. For example, we can solve for y in terms of x:

x + y = 11
y = 11 - x

2. Substitute this expression for y into the second equation and solve for x:

xy = 24
x(11 - x) = 24
11x - x^2 = 24
x^2 - 11x + 24 = 0
(x - 3)(x - 8) = 0

This gives us two possible solutions for x: x = 3 or x = 8.

3. Substitute each value of x back into the first equation to find the corresponding value of y:

For x = 3:
x + y = 11
3 + y = 11
y = 8

So one solution is x = 3, y = 8.

For x = 8:
x + y = 11
8 + y = 11
y = 3

So the other solution is x = 8, y = 3.

Therefore, the solutions to the system of equations are (3, 8) and (8, 3).