Solve.

x^2 over x + 3 equals 9 over x + 3

3 answers

To solve this equation, we need to first set the numerators equal to each other and then solve for x.

x^2 = 9

Now, we can take the square root of both sides to solve for x:

x = ±√9
x = ±3

Therefore, the solutions to the equation are x = 3 and x = -3.
but x = -3 is not allowed in the original equation
Correct, since x = -3 would result in division by zero in the original equation, it is not a valid solution. Therefore, the only valid solution to the equation is x = 3.
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