To simplify the expression 10/(3+x) + |x| = 2, we can break it down into two separate equations based on the absolute value:
If x ≥ 0: 10/(3+x) + x = 2 10 + x(3+x) = 6(3 + x) 10 + 3x + x^2 = 18 + 6x x^2 - 3x + 8 = 0 This equation does not have real solutions when x ≥ 0.
If x < 0: 10/(3+x) - x = 2 10 - x(3+x) = 6(3 + x) 10 - 3x - x^2 = 18 - 6x -x^2 - 3x - 8 = 0 x^2 + 3x + 8 = 0 This equation does not have real solutions when x < 0.
Therefore, there are no real solutions for the given equation 10/(3+x) + |x| = 2.
To simplify the expression 10/(3+x) + |x| = 2, we can break it down into two separate equations based on the absolute value:
If x ≥ 0:
10/(3+x) + x = 2
10 + x(3+x) = 6(3 + x)
10 + 3x + x^2 = 18 + 6x
x^2 - 3x + 8 = 0
This equation does not have real solutions when x ≥ 0.
If x < 0:
10/(3+x) - x = 2
10 - x(3+x) = 6(3 + x)
10 - 3x - x^2 = 18 - 6x
-x^2 - 3x - 8 = 0
x^2 + 3x + 8 = 0
This equation does not have real solutions when x < 0.
Therefore, there are no real solutions for the given equation 10/(3+x) + |x| = 2.