Algebra

Solution: 2x^4 + x^2 - 1 = 0. Factoring the left side of the equation yields (2x^2 + 1)(x^2 - 1) = 0. This means that either the first factor (2x^2 + 1) is equal to 0, or the second factor (x^2 - 1) is equal to 0. Solving for the first factor yields 2x^2 + 1 = 0 and solving for the second factor yields x^2 - 1 = 0. The solutions to both equations are x = ±1√2. Therefore, the solutions to the original equation are x = ±1√2.