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A day full of math games & activities. Find one near you.
Solve for x: [(x + 2)/(x - 3)] [(x - 2)/(x - 3)] = 1
The solution of the given equation is obtained by solving a linear equation in one variable.
Answer: The solution to the given question [(x + 2)/(x - 3)] [(x - 2)/(x - 3)] = 1 is x = 13/6.
Let's solve the given equation.
Explanation:
[(x + 2)/(x - 3)] [(x - 2)/(x - 3)] = 1
[(x + 2)(x - 2)] / [ (x - 3)2 ] = 1
(x + 2)(x - 2) = (x - 3)2
x2 - 22 = (x - 3)2
x2 - 4 = x2 - 6x + 9
-4 = - 6x + 9
6x = 4 + 9
6x = 13
x = 13/6
Thus, x = 13/6 is the solution of [(x + 2)/(x - 3)] [(x - 2)/(x - 3)] = 1.
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