Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.

1. (x + 3)(x + 4) = 12

2. x + 3 = 12 or x + 4 = 12

3. x = 9 or x = 8

1 answer

Percy's work is incorrect.

The correct way to solve the equation x^2 + 7x + 12 = 12 is:

1. x^2 + 7x + 12 = 12
2. x^2 + 7x = 0
3. x(x + 7) = 0
4. x = 0 or x = -7

So, the correct solutions to the equation are x = 0 or x = -7. Percy's answer of x = 9 or x = 8 is incorrect.