Question

2х^2-2х+0,5=0 помогите..

Answer 1

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Answer 2

Ответ: 0,5.
Решение на фото.

Answer 3

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

To solve the quadratic equation 2x^2 - 2x + 0.5 = 0, we can use the quadratic formula or factorization. Let's explore both methods.

Using the Quadratic Formula

The quadratic formula states that for the quadratic equation ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

For the equation 2x^2 - 2x + 0.5 = 0, we have: a = 2, b = -2, and c = 0.5.

Plugging these values into the quadratic formula, we get:

x = (-(-2) ± √((-2)^2 - 4*2*0.5)) / (2*2)

x = (2 ± √(4 - 4)) / 4

x = (2 ± √0) / 4

x = (2 ± 0) / 4

x = 2 / 4 = 0.5

So, the solutions for the equation 2x^2 - 2x + 0.5 = 0 are x = 0.5.

Using Factorization

We can also solve the quadratic equation by factoring it. The equation 2x^2 - 2x + 0.5 = 0 can be factored as:

2x^2 - 2x + 0.5 = 0

2x^2 - 2x = -0.5

x(2x - 2) = -0.5

x(2x - 2) = -1/2

From this point, we can proceed to solve for x using the factored form of the equation.

Conclusion

The solutions for the quadratic equation 2x^2 - 2x + 0.5 = 0 are x = 0.5.