Question

Imagine that the following "solution" was (x²+10x+9)/(x+9)=(x²+10x)/(x)=x+10

Is the solution correct?

Answer 1

The solution provided is not correct.

Step-by-step explanation:

The solution provided, (x²+10x+9)/(x+9)=(x²+10x)/(x)=x+10, is not correct.

To solve this equation, we need to simplify the left side using the concept of factoring. We first factor the numerator of the left side of the equation to (x+9)(x+1). We can cancel out the common factor of (x+1) in both the numerator and denominator, resulting in (x+9)/(x)=(x²+10x)/(x²)=x+9.

Therefore, the correct solution is (x+9)/(x)=x+9.