Question

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

Percy solved the equation by expanding the expression on the left-hand side, and this is incorrect

How to determine the true solution?

The equation is given as:

x^2 + 7x + 12 = 12

The first step in solving the equation is to equate the equation to 0.

i.e.

x^2 + 7x + 12 - 12 = 0

This given

x^2 + 7x = 0

From the question, Percy solved the equation by expanding the expression on the left-hand side

Hence, Percy's solution is incorrect

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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.