Final answer:
The equation x(x) = 1 is a simple quadratic equation that can be solved by taking the square root of both sides, resulting in two solutions: x = 1 and x = -1.
Step-by-step explanation:
The question x(x) = 1 asks us to solve for x in the equation where x multiplied by itself equals 1. This equation implies that x squared is equal to 1 (x² = 1). To solve this, we take the square root of both sides, yielding two solutions: x = 1 and x = -1, since both (1)² and (-1)² equal 1.
This can be compared to other quadratic equations, such as ax² + bx + c = 0, which can be solved using the quadratic formula, but in this simpler case, recognizing the perfect square on the left side simplifies the solution process.