What is the solution to ther equation 2(x-4)squared=50

x=9                   x=-1

Step-by-step explanation:

2(x-4)^2=50

Divide each side by 2

2/2(x-4)^2=50/2

(x-4)^2=25

Take the square root of each side

sqrt((x-4)^2)=sqrt(25)

x-4 = ±5

x-4 =5            x-4 = -5

Add 4 to each side

x-4+4=5+4    x-4+4 = -5+4

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted