Question

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

Answer 1

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