Question

X1+x2=5 x1*x2=-6 система уровнений

Answer 1

Ответ:

x1= 6

x2=-1

Пошаговое объяснение:

Answer 2

To solve the system of equations, we can use the method of substitution or elimination. In this case, I'll demonstrate the method of substitution.

The system of equations is given as follows:

1. x1 + x2 = 5
2. x1 * x2 = -6

Let's solve this system step-by-step:

Step 1: Solve equation (1) for one variable in terms of the other. x1 = 5 - x2

Step 2: Substitute the expression for x1 from Step 1 into equation (2). (5 - x2) * x2 = -6

Step 3: Expand and rearrange equation (2) to solve for x2. 5x2 - x2^2 = -6 x2^2 - 5x2 - 6 = 0

Step 4: Factor the quadratic equation. (x2 - 6)(x2 + 1) = 0

Step 5: Set each factor equal to zero and solve for x2. i) x2 - 6 = 0 x2 = 6

ii) x2 + 1 = 0 x2 = -1

Step 6: Now that we have two possible values for x2, we can find the corresponding values of x1 using equation (1). i) x1 + 6 = 5 x1 = 5 - 6 x1 = -1

ii) x1 + (-1) = 5 x1 = 5 + 1 x1 = 6

So the solution to the system of equations is: x1 = -1, x2 = 6 or x1 = 6, x2 = -1

Both solutions satisfy the given system of equations.