Question

Michael was given the equation x + 7x − 11 = 0 and asked to find the zeros. His solution set was {−11, 7}. Explain whether you agree or disagree with Michael.

A. Agree. Michael correctly found the zeros as {−11, 7}.

B. Disagree. Michael made an error in his calculation and should have found different values for the zeros.

C. Agree. Michael accurately determined the zeros as {−7, 11}.

D. Disagree. Michael did not set both factors equal to zero and solve. He should have gotten −7,11.

Answer 1

I disagree with Michael's solution. The correct value for the zero of the equation is x = 11/8, not -11 or 7.

Step-by-step explanation:

I disagree with Michael's solution. He made an error in his calculation. To find the zeros of the equation x + 7x - 11 = 0, we need to set the equation equal to zero and solve for x.

So, x + 7x - 11 = 0 becomes 8x - 11 = 0.

Now we can solve for x: 8x = 11, x = 11/8.

Therefore, the zero of the equation is x = 11/8, not -11 or 7 as Michael found.