Hello!
The easiest way to find the number that makes the statement true is to substitute the given answers into the equation.
Question 1:
8 + 3 • x = 22 + x² when x = 5
8 + 3 • 5 = 22 + 5²
8 + 15 = 22 + 25
23 = 47 | x = 5 makes the equation false.
8 + 3 • x = 22 + x² when x = 4
8 + 3 • 4 = 22 + 4²
8 + 12 = 22 + 16
20 + 38 | x = 4 makes the equation false.
8 + 3 • x = 22 + x² when x = 3
8 + 3 • 3 = 22 + 3²
8 + 9 = 22 + 9
17 = 31 | x = 3 makes the equation false.
8 + 3 • x = 22 + x² when x = 2
8 + 3 • 2 = 22 + 2²
8 + 6 = 22 + 4
14 = 26 | x = 2 makes the equation false.
For question number 1, no values for x can make this equation true.
Question 2:
5 + 4 • x = 32 + 2x when x = 2
5 + 4 • 2 = 32 + 2(2)
5 + 8 = 32 + 4
13 = 36 | x = 2 makes the equation false.
5 + 4 • x = 32 + 2x when x = 5
5 + 4 • 5 = 32 + 2(5)
5 + 20 = 32 + 10
35 = 42 | x = 5 makes the equation false.
5 + 4 • x = 32 + 2x when x = 3
5 + 4 • 3 = 32 + 2(3)
5 + 12 = 32 + 6
17 = 38 | x = 3 makes the equation false.
5 + 4 • x = 32 + 2x when x = 4
5 + 4 • 4 = 32 + 2(4)
5 + 16 = 32 + 8
21 = 40 | x = 4 makes the equation false.
For question number 2, no values for x can make this equation true.
Hence, no x-values can make the equations of question one and two true.
