Question

А-1/а-2=4 ? решите уравнение

Answer 1

Ответ:

a = 2 1/3

Пошаговое объяснение:

ОДЗ: a не может равняться 2.

Умножаем обе части на a-2.

a-1=4(a-2)

a-1=4a-8

-1+8=4a-a

7=3a

a = 2 1/3

Проверка:

(2 1/3 - 1):(2 1/3 - 2) = 4

1 1/3 : 1/3 = 4

4=4 - значит, верно.

Answer 2

To solve the equation, we'll follow these steps:

Step 1: Simplify the equation if possible. Step 2: Isolate the variable on one side of the equation. Step 3: Solve for the variable.

Let's start solving the equation:

Given equation: A-1/A-2 = 4

Step 1: Simplify the equation To simplify the equation, we can get rid of the fraction in the left-hand side by multiplying both sides by (A-2) to eliminate the denominator.

(A-2) * (A-1)/(A-2) = 4 * (A-2)

On the left-hand side, (A-2) in the numerator and denominator cancel out, leaving us with:

A - 1 = 4 * (A - 2)

Step 2: Isolate the variable on one side of the equation

Let's expand the right-hand side:

A - 1 = 4A - 8

Now, let's isolate the variable 'A' on one side of the equation. We'll move all terms containing 'A' to one side and constants to the other side:

A - 4A = -8 + 1

Simplify the left-hand side:

-3A = -7

Step 3: Solve for the variable 'A'

Finally, to find the value of 'A', we'll divide both sides by -3:

A = (-7)/(-3)

A = 7/3

So, the solution to the equation is:

A = 7/3