Question

Which of the following are solutions to the equation below? Check all that apply.

(3x + 4)2 = 14

A. x= - √14/3 -4
B. x= - √10/3
c. x= √14-4/3
d. x=√10/3
e. x= - √14-4/3
f. x= √14/3-4

Answer 1

(3x + 4)2 = 14

(3x + 4)2 means that 2 will multiply both 3x and 4

2 * 3x = 6x 2 * 4 = 8

6x + 8 = 14

Move +8 to the other side of the equation

6x = 14 - 8 Note : Moving +8 to the other side will change the sign in front of it, that is from + to -

6x = 14 - 8

6x = 6

Divide both sides by 6 because of the 6 beside the x : 6x

6x/6 = 6/6

x = 1