Question

4 (3y+1)= -27 = (4y + 9) (4y – 9) +2 (5y + 2) (2y-7) ​

Answer 1

Ответ:

((3y+1)=, -27, = (4y + 9), (4y, ? 9) +2, (5y + 2), (2y-7)

Объяснение:

Answer 2

It appears that you have an equation with several terms that need to be simplified and solved. Let's work through it step by step.

The equation you provided is: 4(3y + 1) = -27 = (4y + 9)(4y - 9) + 2(5y + 2)(2y - 7)

First, simplify the left side of the equation: 4(3y + 1) = 12y + 4

Now, simplify the right side of the equation by expanding the expressions in parentheses: (4y + 9)(4y - 9) = 16y^2 - 81 2(5y + 2)(2y - 7) = 20y^2 - 14y + 4y - 14 = 20y^2 - 10y - 14

Now, the equation looks like this: 12y + 4 = -27 = 16y^2 - 81 + 20y^2 - 10y - 14

Combine like terms on the right side: 12y + 4 = -27 = 36y^2 - 10y - 95

Now, let's move all terms to one side of the equation to set it equal to zero: 36y^2 - 10y - 95 - 12y - 4 + 27 = 0

Combine like terms: 36y^2 - 22y - 72 = 0

Now, we have a quadratic equation in the form of ax^2 + bx + c = 0, where a = 36, b = -22, and c = -72. To solve this quadratic equation, you can use the quadratic formula:

y = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values: y = (-(-22) ± √((-22)² - 4(36)(-72))) / (2(36))

Simplify the expression inside the square root: y = (22 ± √(484 + 10368)) / 72 y = (22 ± √10852) / 72

Now, calculate the square root: y = (22 ± 104.163) / 72

Now, you can calculate the two possible solutions for y:

1. y = (22 + 104.163) / 72 y = 126.163 / 72 y ≈ 1.7518

2. y = (22 - 104.163) / 72 y = -82.163 / 72 y ≈ -1.1398

So, the solutions for the equation are approximately y ≈ 1.7518 and y ≈ -1.1398.