Question

0,5 x (7 - 8 x) = 1 / 3 x (21 - 12 x)​

Answer 1

Ответ:

x = 3,5

Объяснение:

0,5 × (7-8x) = 1/3×(21-12x)

3,5-4x = 7-4x

-4x+4x=7-3,5

x=3,5

Answer 2

To solve the equation 0.5(7 - 8x) = (1/3)x(21 - 12x), we can follow these steps:

1. Distribute the terms on both sides of the equation: 3(0.5)(7 - 8x) = 3((1/3)x(21 - 12x))

   Simplifying: 3.5 - 4x = x(7 - 4x)

2. Expand the terms on the right side: 3.5 - 4x = 7x - 4x^2

3. Move all terms to one side to set up a quadratic equation: 0 = 7x - 4x^2 + 4x - 3.5

4. Combine like terms: 0 = -4x^2 + 11x - 3.5

5. Multiply the entire equation by -1 to make the leading coefficient positive: 0 = 4x^2 - 11x + 3.5

6. To solve this quadratic equation, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)

   For our equation, a = 4, b = -11, and c = 3.5.

   Plugging in the values into the quadratic formula: x = (-(-11) ± √((-11)^2 - 4 * 4 * 3.5)) / (2 * 4) x = (11 ± √(121 - 56)) / 8 x = (11 ± √65) / 8

   Therefore, the solutions to the equation are: x = (11 + √65) / 8 x = (11 - √65) / 8

These are the two possible solutions for the equation 0.5(7 - 8x) = (1/3)x(21 - 12x).