What value of x causes the rational equation 3/x+5=1/x+5 +4
to be undefined?(1 point)
x=
The rational equation is undefined when the denominator is equal to zero.
In this case, the denominator is x + 5.
To find the value of x that makes the equation undefined, we set the denominator equal to zero and solve for x:
x + 5 = 0
Subtracting 5 from both sides, we have:
x = -5
Therefore, the value of x that causes the rational equation to be undefined is x = -5.
To find the value of x that causes the equation to be undefined, we need to determine the value that makes the denominator zero. In this case, the denominator is (x + 5).
So, to find the value of x that makes the equation undefined, we set the denominator equal to zero and solve for x:
x + 5 = 0
To solve for x, we subtract 5 from both sides of the equation:
x = -5
Therefore, the value of x that causes the equation to be undefined is x = -5.
To find the value of x that causes the rational equation to be undefined, we need to identify the value(s) of x which result in a denominator of zero.
In the given equation: 3/(x + 5) = 1/(x + 5) + 4
The common denominator is (x + 5).
The equation becomes: 3/(x + 5) = (1 + 4(x + 5))/(x + 5)
Now, let's simplify the equation further:
3/(x + 5) = (1 + 4x + 20)/(x + 5)
3/(x + 5) = (4x + 21)/(x + 5)
To ensure that the equation remains defined, we cannot have a denominator of zero. Therefore, the equation is undefined when (x + 5) = 0.
Solving for x:
x + 5 = 0
x = -5
Therefore, the value of x that causes the rational equation to be undefined is x = -5.