Question

25x^ + 60x + 36=0 8 класс

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

Ответ: фото

Объяснение:

Answer 3

To solve the quadratic equation 25x^2 + 60x + 36 = 0, you can use the quadratic formula or factorization.

Method 1: 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)

In the given equation, a = 25, b = 60, and c = 36. Plugging these values into the formula, we get:

x = (-60 ± √(60^2 - 4 * 25 * 36)) / (2 * 25)

Simplifying further:

x = (-60 ± √(3600 - 3600)) / 50 x = (-60 ± √0) / 50 x = (-60 ± 0) / 50

The solutions are x = -60/50 and x = -60/50, which simplifies to x = -6/5.

Therefore, the solution to the equation 25x^2 + 60x + 36 = 0 is x = -6/5.

Method 2: Factorization

To factorize the quadratic equation 25x^2 + 60x + 36 = 0, we need to find two binomials whose product is equal to the given quadratic equation.

The equation can be rewritten as:

25x^2 + 30x + 30x + 36 = 0

Now, we group the terms:

(25x^2 + 30x) + (30x + 36) = 0

Taking common factors from each group:

5x(5x + 6) + 6(5x + 6) = 0

Now, we can see that (5x + 6) is a common factor. Factoring it out:

(5x + 6)(5x + 6) = 0

Simplifying further:

(5x + 6)^2 = 0

Taking the square root of both sides:

5x + 6 = 0

Solving for x:

5x = -6 x = -6/5

Therefore, the solution to the equation 25x^2 + 60x + 36 = 0 is x = -6/5.