Question

For the equation (x)/(x+7)=1+(x)/(7), which value of x does NOT make your reasoning correct?

Answer 1

To find the value of x that does not make the reasoning correct for the given equation, solve it and check the validity of the solution.

Step-by-step explanation:

To find the value of x that does not make the reasoning correct for the equation (x)/(x+7)=1+(x)/(7), we need to solve the equation and check the validity of the solution.

1. Multiply both sides of the equation by (x+7) and 7 to eliminate the denominators.
2. Simplify the equation by combining like terms and moving all terms to one side.
3. Factor the quadratic equation and solve for x.

The two possible values for x are x = 0.0216 and x = -0.0224. The value -0.0224 does not make the reasoning correct because it leads to a contradiction.