Question

3/4 (1/6х-1/3)=3х-11 1/2

Answer 1

Ответ:

3 21/23

Пошаговое объяснение:

на фото всё решение

Answer 2

To solve this equation, you'll need to follow a series of steps to isolate the variable "x." Here's how you can do it:

1. Start by simplifying both sides of the equation by multiplying the fractions and distributing the constants:

(3/4) * (1/6x - 1/3) = 3x - 11 1/2

2. Multiply each term inside the parentheses by (3/4):

(3/4) * (1/6x) - (3/4) * (1/3) = 3x - 11 1/2

3. Simplify further:

(1/8x) - (1/4) = 3x - 11 1/2

4. Now, let's get rid of fractions. Multiply both sides of the equation by 8x to eliminate the fractions:

8x * ((1/8x) - (1/4)) = 8x * (3x - 11 1/2)

1 - 2x = 24x^2 - 88x

5. Move all terms to one side of the equation to set it equal to zero:

24x^2 - 88x - 1 + 2x = 0

6. Combine like terms:

24x^2 - 86x - 1 = 0

Now, you have a quadratic equation in the form of ax^2 + bx + c = 0. You can solve it using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 24, b = -86, and c = -1. Plug these values into the quadratic formula:

x = (-(-86) ± √((-86)² - 4 * 24 * (-1))) / (2 * 24)

x = (86 ± √(7396 + 96)) / 48

x = (86 ± √(7492)) / 48

x = (86 ± √(4 * 1873)) / 48

x = (86 ± 2√1873) / 48

Now, you have two possible solutions:

1. x = (86 + 2√1873) / 48
2. x = (86 - 2√1873) / 48

These are the values of x that satisfy the original equation.