Question

............ 3x²-9=5x​

Answer 1

Ответ:

х1=5-корень133/6; х2= 5+корень133/6

Answer 2

To solve the equation 3x² - 9 = 5x, follow these steps:

1. Move all terms to one side of the equation to set it to zero: 3x² - 5x - 9 = 0

2. This is a quadratic equation, so you can use the quadratic formula to solve for x: x = (-b ± √(b² - 4ac)) / (2a)

   In this equation, a = 3, b = -5, and c = -9.

3. Plug these values into the quadratic formula:

   x = (-(-5) ± √((-5)² - 4 * 3 * (-9))) / (2 * 3)

4. Simplify:

   x = (5 ± √(25 + 108)) / 6 x = (5 ± √133) / 6

So, the solutions for x are:

x₁ = (5 + √133) / 6 x₂ = (5 - √133) / 6

These are the two real solutions for the equation 3x² - 9 = 5x.