Question

solve.
3√2x-1 +2=5

x = –1

x = 1

x = ± 1

no solution

Answer 1

Interpret the equation as 3·√(2x−1) + 2 = 5.

Solve:
3√(2x−1) = 3
√(2x−1) = 1
2x−1 = 1 (square both sides)
2x = 2
x = 1

Check domain: 2x−1 ≥ 0 ⇒ x ≥ 1/2, and x = 1 satisfies the original equation.

Answer: x = 1.