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