Question

24x - 6x (13x -9)= -13- 13x (6x - 1).​

Answer 1

24x - 6x (13x -9)= -13- 13x (6x - 1)

24x-78x²+54=-13-78x²+13x

24x-78x²+78x²-13x=-54-13

24x-13x=-67

11x=-67

x=-67:11

x=-6,(09) либо дробью -67/11 = - 6 целых 1/11

Ответ:-6, (09)

Answer 2

To solve the equation 24x - 6x(13x - 9) = -13 - 13x(6x - 1), you can follow these steps:

1. Distribute the terms on both sides of the equation to simplify it: 24x - 78x^2 + 54x = -13 - 78x^2 + 13x

2. Group like terms together: (24x + 54x) - 78x^2 = (-13 + 13x) - 78x^2

3. Combine the x terms on both sides: 78x - 78x^2 = -13 + 13x - 78x^2

4. Move all terms to one side of the equation to set it equal to zero: 78x - 78x^2 - 13 + 13x - 78x^2 = 0

5. Combine like terms again: (78x + 13x) - 78x^2 - 78x^2 - 13 = 0

6. Combine the x terms and simplify: 91x - 156x^2 - 13 = 0

7. Now, this is a quadratic equation in the form ax^2 + bx + c = 0. To solve for x, you can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)

In your equation, a = -156, b = 91, and c = -13. Plug these values into the quadratic formula:

x = (-(91) ± √((91)^2 - 4(-156)(-13))) / (2(-156))

x = (-91 ± √(8281 - 8112)) / (-312)

x = (-91 ± √169) / (-312)

x = (-91 ± 13) / (-312)

Now, you can find two possible solutions for x:

1. x = (-91 + 13) / (-312) = -78 / (-312) = 13 / 52
2. x = (-91 - 13) / (-312) = -104 / (-312) = 13 / 39

So, the solutions to the equation are x = 13/52 and x = 13/39.