Which statement describes the solutions of this equation? I + 2
. 2 + = 1
OA.
The equation has two valid solutions and no extraneous solutions,
OB.
The equation has no valid solutions and two extraneous solutions.
O C.
The equation has one valid solution and no extraneous solutions.
OD.
The equation has one valid solution and one extraneous solution.

The true statement is (c) the equation has one valid solution and no extraneous solutions

The equation is given as:

Take LCM

Expand the numerator

Cross multiply

Subtract x^2 from both sides

Collect like terms

Hence, the equation has one valid solution and no extraneous solutions

Read more about solutions of equations at:

link

Step-by-step explanation:

x/(x + 2) + 1/x = 1

x² + (x + 2) = x(x + 2)

x² + x + 2 = x² + 2x

x = 2.

Since x = 2 neither makes (x + 2) or x become 0, there are no extraneous solutions.

The answer is "The equation has 1 valid solution and no extraneous solutions." (C)

2nd one in the first row is correct