Question

B
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

Answer 1

Answer:

No. He wrong in the 1st step . The value of x is -7 and 0 .

Step-by-step explanation:

In order to solve the equation, you have to make the equation equals to zero by substracting 12 to both sides :

${x}^{2} + 7x + 12 = 12$

${x}^{2} + 7x + 12 - 12 = 12 - 12$

${x}^{2} + 7x = 0$

Next, you have to factorize and solve it :

$x(x + 7) = 0$

$x = 0$

$x + 7 = 0 \\ x = - 7$

Answer 2

Answer:

Percy is not correct because he applied the zero product property to a factored expression that was not equal to 0. He should have subtracted 12 from both sides to get x2 + 7x = 0 before factoring. The correct solutions are 0 and -7.

Step-by-step explanation:

Sample response for edge lol