Question

X^2-4=2x-1 решите пожалуйста​

Answer 1

Ответ на данный пример

Answer 2

Solving the Equation x^2 - 4 = 2x - 1

To solve the equation x^2 - 4 = 2x - 1, we need to isolate the variable x. Here's how we can do it step by step:

Step 1: Move all the terms to one side of the equation: x^2 - 2x = -1 + 4

Step 2: Simplify the equation: x^2 - 2x = 3

Step 3: Set the equation equal to zero: x^2 - 2x - 3 = 0

Now, we can solve this quadratic equation. There are different methods to solve quadratic equations, such as factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula to find the solutions.

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

In our equation, a = 1, b = -2, and c = -3. Substituting these values into the quadratic formula, we get:

x = (-(-2) ± √((-2)^2 - 4(1)(-3))) / (2(1)) x = (2 ± √(4 + 12)) / 2 x = (2 ± √16) / 2 x = (2 ± 4) / 2

Now, we have two possible solutions:

x1 = (2 + 4) / 2 = 6 / 2 = 3 x2 = (2 - 4) / 2 = -2 / 2 = -1

Therefore, the solutions to the equation x^2 - 4 = 2x - 1 are x = 3 and x = -1.

Note: The solutions were obtained by using the quadratic formula.