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 - 1925x^2 = 8x^2 = 1x = ±4
Therefore, the solutions to the equation are x = 4 and x = -4.
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 - 192
5x^2 = 8
x^2 = 1
x = ±4
Therefore, the solutions to the equation are x = 4 and x = -4.