Question

X^2 - 13 = (x - 1)^2

Answer 1

• Исходное уравнение:

x² - 13 = (x - 1)²

• Давай раскроем скобки и всё перенесём в одну сторону (левую):

x² - 13 = (x - 1)²

x² - 13 = x² - 2x + 1

x² - 13 - x² + 2x - 1 = 0

(Переменные «x²» взаимоуничтожатся)

2x - 14 = 0

2x = 14

x = 14/7

x = 7

Ответ: x = 7

Answer 2

To solve the equation $x^2 - 13 = (x - 1)^2$, you can start by expanding the right side of the equation and then simplifying:

$x^2 - 13 = x^2 - 2x + 1$

Now, you can move all the terms to one side of the equation to isolate x:

$x^2 - x^2 - 2x + 1 - 13 = 0$

Simplify the equation:

$-2x - 12 = 0$

Now, add 12 to both sides:

$-2x = 12$

Finally, divide by -2 to solve for x:

$x = \frac{12}{-2} = -6$

So, the solution to the equation $x^2 - 13 = (x - 1)^2$ is $x = -6$.