Question

Determine which equation has the same solutions as the given equation.

x2 − 10x − 11 = 0

A.
(x − 10)2 = 36
B.
(x − 5)2 = 36
C.
(x − 5)2 = 21
D.
(x − 10)2 = 21

Answer 1

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

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 =
`√(21) +5`,
`-√(21)+5`

the solutions for D | x =
`√(21)+10, -√(21)+10`

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