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5 votes
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

User Wenneguen
by
9.2k points

1 Answer

2 votes

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

User RenatoUtsch
by
8.5k points

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