Solve the equation by extracting the square roots. List both the exact solution and its approximation rounded to two decimal places. (2x-1)^2=18

Answer 1

(2x-1)^2 = 18

2x-1 = +/-sqr18

2x = 1+/-3sqr2

x= 0.5 + 1.5sqr2, 0.5 - 1.5sqr2

= about 0.5+1.5(1.414), 0.5-1.5(1.414)

= about 2.62, -1.62