Question

5(x - 2)2 = 3x - 6;​

Answer 1

Ответ:

vxccvxcvbxxbcvxbcvbvxcbvcbcvx

Объяснение:

Answer 2

Ответ:

х=2

Объяснение:

5(х-2)2=3х-6

10(х-2)=3х-6

10х-20=3х-6

10х-3х=-6+20

7х=14

х=14/7

х=2

Answer 3

To solve the equation 5(x - 2)² = 3x - 6, you can follow these steps:

1. Expand the square: 5(x - 2)² = 3x - 6 5(x² - 4x + 4) = 3x - 6 5x² - 20x + 20 = 3x - 6

2. Move all terms to one side to set the equation to zero: 5x² - 20x + 20 - 3x + 6 = 0 5x² - 23x + 26 = 0

3. Solve the quadratic equation. You can use factoring, completing the square, or the quadratic formula. In this case, let's use the quadratic formula:

The quadratic formula is given by: x = (-b ± √(b² - 4ac)) / (2a)

For our equation: 5x² - 23x + 26 = 0, the coefficients are: a = 5, b = -23, c = 26

Plugging these values into the quadratic formula, we have: x = (-(-23) ± √((-23)² - 4(5)(26))) / (2(5)) x = (23 ± √(529 - 520)) / 10 x = (23 ± √9) / 10 x = (23 ± 3) / 10

4. Solve for x: We have two possible solutions: x₁ = (23 + 3) / 10 = 26 / 10 = 13 / 5 = 2.6 x₂ = (23 - 3) / 10 = 20 / 10 = 2

Therefore, the solutions to the equation 5(x - 2)² = 3x - 6 are x = 2 and x = 2.6.