This is joanne’s solution for the equation x2 – 10x – 11 = 0
x2 – 10x – 11 = 0
x2 – 10x = 11
x2 – 10x + 25 = 11 + 25
(x – 5)2 = 36
x – 5 = 36 or x – 5= -25
x = 41 x = -20
the solution is x = 41 or x = -20

a) is joanne’s solution correct? why or why not?
b) if joanne’s solution is incorrect, circle and explain her error and show how to do this problem correctly using the complete the square method that was used above.

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