Question

Megan claims that the solution to the equation √11x-7=x+1 is x=1 or x=8. Did megan correctly solve the equation? A) x = 1 B) x = 8 C) Megan's solution is correct D) Megan's solution is incorrect

Answer 1

Megan’s solution is incorrect. Option C is answer.

Step-by-step explanation:

The given equation is √11x-7=x+1. To check if Megan’s solution is correct, we can substitute x=1 and x=8 in the equation and see if it satisfies the equation.

Substituting x=1, we get √11(1)-7=1+1 or √4=2 which is true.

Substituting x=8, we get √11(8)-7=8+1 or √81=9 which is also true.

Therefore, both x=1 and x=8 satisfy the equation. Hence, Megan’s solution is correct and the answer is C) Megan’s solution is correct.