
X²-25 ------- =0 x-5


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Ответ:
На фотке,
Объяснение:
Хорошего дня, успехов в учёбе,




To solve the equation (x^2 - 25) / (x - 5) = 0, you can start by factoring the numerator and denominator:
(x^2 - 25) = (x + 5)(x - 5)
Now, your equation becomes:
(x + 5)(x - 5) / (x - 5) = 0
Since (x - 5) is in the denominator, we need to be careful about this. We cannot simply cancel it out because it would make the equation undefined when x = 5. Instead, we need to consider that if the denominator is 0, the fraction is undefined, so the only way for the entire fraction to equal 0 is if the numerator is 0.
So, you can set the numerator (x + 5)(x - 5) equal to 0:
(x + 5)(x - 5) = 0
Now, you can solve for x by setting each factor equal to 0:
x + 5 = 0 --> x = -5 x - 5 = 0 --> x = 5
So, there are two solutions to the equation:
x = -5 x = 5
However, remember that the original equation was (x^2 - 25) / (x - 5) = 0. When x = 5, the denominator becomes 0, which makes the fraction undefined. So, the only valid solution is:
x = -5


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