Solve the equation by extracting the square roots. When a solution is irrational, list both the exact solution and its approximation rounded to two decimal places. (2x − 1)2 = 18

Answer 1

2x-1 = sqrt(18)

2x = 1 + sqrt(18)

2x = 1 + sqrt(9*2)

2x = 1 + sqrt(9)*sqrt(2)

2x = 1 + 3 * sqrt(2)

x = [ 1 + 3 * sqrt(2)]/2