48/(20+х)+48/(20-х)=5

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вопрос

To solve this equation, we first need to simplify it:

48 / (20 + x) + 48 / (20 - x) = 5

To get rid of the denominators, we can first find a common denominator, which is (20 + x)(20 - x) = 400 - x^2

Now, we can rewrite the equation with the common denominator:

48(20 - x) + 48(20 + x) = 5(400 - x^2)

Expanding the equation, we get:

960 - 48x + 960 + 48x = 2000 - 5x^2

Simplifying further, we get:

1920 = 2000 - 5x^2

Rearranging the terms, we get the quadratic equation:

5x^2 = 2000 - 1920
5x^2 = 80
x^2 = 16
x = ±4

Therefore, the solutions to the equation are x = 4 and x = -4.