Tentu, ini artikel tentang persamaan kuadrat $0.5x^2 - 2x + 2 = 0$:

## Solving the Quadratic Equation: 0.5x^2 - 2x + 2 = 0

This equation is a quadratic equation in the standard form: **ax^2 + bx + c = 0**, where a = 0.5, b = -2, and c = 2.

Here are the common methods to solve quadratic equations:

### 1. Factoring

**Identify factors:**In this case, the equation cannot be easily factored into two binomials with integer coefficients.

### 2. Completing the Square

**Isolate the x^2 and x terms:**0.5x^2 - 2x = -2**Divide both sides by the coefficient of x^2 (0.5):**x^2 - 4x = -4**Complete the square on the left side:**Take half of the coefficient of the x term (-4), square it (4), and add it to both sides. x^2 - 4x + 4 = -4 + 4**Factor the left side as a perfect square trinomial:**(x - 2)^2 = 0**Solve for x:**x - 2 = 0 x = 2

Therefore, the solution to the equation is **x = 2**.

### 3. Quadratic Formula

**Apply the formula:**The quadratic formula provides a direct solution for any quadratic equation. x = (-b ± √(b^2 - 4ac)) / 2a**Substitute the values:**x = (2 ± √((-2)^2 - 4 * 0.5 * 2)) / (2 * 0.5) x = (2 ± √(4 - 4)) / 1 x = (2 ± √0) / 1 x = 2

Therefore, the solution to the equation is **x = 2**.

### Conclusion

Using different methods, we find that the equation 0.5x^2 - 2x + 2 = 0 has a single solution, **x = 2**. This means the parabola represented by the equation intersects the x-axis at only one point.