Question

(x-2)^2=(x-9)^2 решение уравнения

Answer 1

х²-4х+4=х²-18х+81

-4х+4=-18х+81

-4х+81х=81-4

14х=77

х=11/2 или 5,5

Answer 2

Вот , решила . Приятной учебы

Answer 3

To solve the equation $(x-2)^2=(x-9)^2$, we need to find the values of $x$ that satisfy the equation. Let's proceed step by step:

Step 1: Expand both sides of the equation. $(x-2)^2 = (x-9)^2$ $x^2 - 4x + 4 = x^2 - 18x + 81$

Step 2: Move all terms to one side of the equation to set it equal to zero. $x^2 - x^2 - 4x + 18x + 4 - 81 = 0$ $-4x + 18x - 77 = 0$

Step 3: Combine like terms. $14x - 77 = 0$

Step 4: Add 77 to both sides of the equation to isolate the term with $x$. $14x = 77$

Step 5: Divide both sides by 14 to solve for $x$. $x = \frac{77}{14}$

So, the solution to the equation is $x = \frac{77}{14}$.