Question

(y+ 9)= - 2y (у + 9); 2

Answer 1

Ответ:

Объяснение:

У+9=-2у2-18у.2у2-19у-9.

Answer 2

To solve the equation (y + 9) = -2y (y + 9), we can start by expanding the equation:

y + 9 = -2y^2 - 18y

Now, let's simplify the equation by moving all terms to one side:

2y^2 + y + 18y + 9 = 0

Combining like terms:

2y^2 + 19y + 9 = 0

To solve this quadratic equation, we can either factor it or use the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:

The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation 2y^2 + 19y + 9 = 0, we have a = 2, b = 19, and c = 9. Substituting these values into the quadratic formula:

y = (-19 ± √(19^2 - 4 * 2 * 9)) / (2 * 2)

Simplifying further:

y = (-19 ± √(361 - 72)) / 4

y = (-19 ± √289) / 4

Now, let's calculate the square root:

y = (-19 ± 17) / 4

This gives us two possible solutions:

1. y = (-19 + 17) / 4 = -2 / 4 = -1/2
2. y = (-19 - 17) / 4 = -36 / 4 = -9

Therefore, the solutions to the equation (y + 9) = -2y (y + 9) are y = -1/2 and y = -9.