Question

Which of the following are solutions to the equation below?

Check all that apply.
(4x-1)² = 11
A. x = -√12/4
B. x=-√11+1/4
C. x=√11+1/4
D. x=-√11+1/4
E. x=√12/4
F. x=√11+1/4​

Answer 1

A.

B.✅

C.✅

D.✅

E.

F.✅

Explanation:

`(4x-1)² = 11 \\ 4x-1 = √(11 ) \\ 4x = √(11) + 1 \\ x = ( √(11) + 1 )/(4)`