I just want to mention that the question is wrongly written!
it's meant to be x² − 10x − 11 = 0 and not x2 − 10x − 11 = 0
and so the other equations!
Answer:
The answer is B: (x − 5)² = 36
Step-by-step explanation:
by solving the equations using the quadratic formula we found:
the solutions for x² − 10x − 11 = 0 | x = 11, -1
the solutions for A | x = 16, 4
the solutions for B | x = 11, -1
the solutions for C | x = [tex]\sqrt{21} +5[/tex], [tex]-\sqrt{21}+5[/tex]
the solutions for D | x = [tex]\sqrt{21}+10, -\sqrt{21}+10[/tex]
the given equation: x² − 10x − 11 = 0 and the equation B: (x − 5)² = 36 have the same solutions
Therfore B is the correct answer