Question

{x+y=-5 {xy=-14 (там фигурная дуга)решить систему уравненийсрочнопожалуйста ​ Смотреть ответ Evreika77 Evreika77 Ответ Объяснение: Смотри спасибооооо

Answer 1

It looks like you're asking for help with solving a system of equations. Let's work through it step by step.

Given Equations:

The system of equations is: - Equation 1: x + y = -5 - Equation 2: xy = -14

Solving the System of Equations:

To solve this system of equations, we can use substitution or elimination. Let's use substitution to solve for one variable in terms of the other and then substitute that expression into the other equation.

From Equation 1, we can express x in terms of y: - x = -5 - y

Now, we can substitute this expression for x into Equation 2: - (-5 - y)y = -14 - -5y - y^2 = -14 - Rearranging the terms, we get: y^2 + 5y - 14 = 0

We now have a quadratic equation in terms of y. We can solve for y using the quadratic formula: - y = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values from the quadratic equation, we get: - y = (-5 ± √(5^2 - 4*1*(-14))) / (2*1) - y = (-5 ± √(25 + 56)) / 2 - y = (-5 ± √81) / 2 - y = (-5 ± 9) / 2

So, we have two possible values for y: - y = (-5 + 9) / 2 = 2 - y = (-5 - 9) / 2 = -7

Now that we have the values of y, we can find the corresponding values of x using Equation 1: - For y = 2, x = -5 - 2 = -7 - For y = -7, x = -5 - (-7) = 2

Solution:

Therefore, the solution to the system of equations is: - When y = 2: x = -7 - When y = -7: x = 2

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.