Question

Розв'яжiть систему рівняНЬ {y=x^2{у=-4х.​ Смотреть ответ 0karbovskiyvlad0 0karbovskiyvlad0 Ответ:(-4;16)Объяснение:Розв'язок на фотографії

Answer 1

System of Equations Solution Explanation

To solve the system of equations:

1. y = x^2 2. y = -4x

We can substitute equation 2 into equation 1 to eliminate the variable y:

x^2 = -4x

Now, we can solve this quadratic equation by moving all terms to one side:

x^2 + 4x = 0

Factoring out an x:

x(x + 4) = 0

Setting each factor equal to zero:

x = 0 or x + 4 = 0

Solving for x, we get two possible solutions:

x = 0 or x = -4

Now, we can substitute these values back into either equation to find the corresponding y-values.

For x = 0: y = (0)^2 = 0

For x = -4: y = (-4)^2 = 16

Therefore, the solutions to the system of equations are (0, 0) and (-4, 16).