Question

6x ( x - 3,5) - 2x (3x + 2 ) = 25

Answer 1

Ответ:

Объяснение:

6x ( x - 3,5) - 2x (3x + 2 ) = 25

6x²-21x-6x²-4x=25

-25x=25  // (-25)

x=-1

Answer 2

Let's solve the given equation step by step:

6x(x - 3.5) - 2x(3x + 2) = 25

First, let's simplify the equation by applying the distributive property:

6x^2 - 21x - 2x^2 - 4x = 25

Combine like terms:

(6x^2 - 2x^2) + (-21x - 4x) = 25

4x^2 - 25x = 25

Rearrange the equation to bring all terms to one side:

4x^2 - 25x - 25 = 0

Now we have a quadratic equation in the form of ax^2 + bx + c = 0, where a = 4, b = -25, and c = -25.

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values, we get:

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

Simplifying further:

x = (25 ± √(625 + 400)) / 8

x = (25 ± √1025) / 8

At this point, we have two possible solutions: one with a positive sign and one with a negative sign.

Solution 1: x = (25 + √1025) / 8

Solution 2: x = (25 - √1025) / 8

These are the solutions to the given equation.