amorphous wrote:
If 3x – 4 = 11, what is the value of \((3x – 4)^2\)
A)22
B)36
C)116
D)121
E)256
Approach #1 (fast) Given: 3x – 4 = 11
Square each side to get: (3x – 4)
² = 11
²Evaluate right side to get: (3x – 4)
² = 121
Answer: D
Approach #2 (slow) Given: 3x – 4 = 11
Add 4 to both sides: 3x = 15
Solve:
x = 5So, (3x – 4)² = [3(
5) – 4]²
= (15 - 4)²
= (11)²
= 121
Answer: D