4. What is the value of x? Leave your answer in simplest radical form.

Step-by-step explanation:

3^2+3^2=x^2

9+9=x^2

x^2=18

x=rt18

x=3rt2

A. 3√2

Step-by-step explanation:

3^2+3^2=9+9

9+9=18

√18=3√2

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal