
X-2/x+3= X-2/x^2-1= A^2-1/a-5=


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To solve these equations, let's take them one by one:
- X - 2 / (x + 3) = 0:
To solve this equation, we can start by multiplying both sides by (x + 3) to eliminate the denominator:
(x + 3) * (X - 2) / (x + 3) = 0 * (x + 3)
Simplifying, we get:
X - 2 = 0
Adding 2 to both sides:
X = 2
So the solution to the equation is X = 2.
- X - 2 / (x^2 - 1) = 0:
Similar to the previous equation, we need to eliminate the denominator. The denominator can be factored as the difference of squares: (x^2 - 1) = (x + 1)(x - 1). So we have:
(X - 2) / [(x + 1)(x - 1)] = 0
Now, since the numerator is zero, we can set it equal to zero:
X - 2 = 0
Adding 2 to both sides:
X = 2
So the solution to this equation is X = 2.
- A^2 - 1 / (a - 5) = 0:
Again, we need to eliminate the denominator by multiplying both sides by (a - 5):
(a - 5) * (A^2 - 1) / (a - 5) = 0 * (a - 5)
Simplifying, we get:
A^2 - 1 = 0
Adding 1 to both sides:
A^2 = 1
Taking the square root of both sides:
A = ±1
So the solutions to this equation are A = 1 and A = -1.


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