Solve (9x-4) ^2=18 using the square root method

x = 4/9 + sqrt (2) / 3 or x = 4/9 - sqrt (2) / 3

Step-by-step explanation:

Solve for x over the real numbers:

(9 x - 4) ^2 = 18

Take the square root of both sides:

9 x - 4 = 3 sqrt (2) or 9 x - 4 = - 3 sqrt (2)

Add 4 to both sides:

9 x = 4 + 3 sqrt (2) or 9 x - 4 = - 3 sqrt (2)

Divide both sides by 9:

x = 4/9 + sqrt (2) / 3 or 9 x - 4 = - 3 sqrt (2)

Add 4 to both sides:

x = 4/9 + sqrt (2) / 3 or 9 x = 4 - 3 sqrt (2)

Divide both sides by 9:

Answer: x = 4/9 + sqrt (2) / 3 or x = 4/9 - sqrt (2) / 3