Final answer:
The expression x² - 10x + 21 represents a quadratic equation. It can be factored as (x - 3)(x - 7) = 0 to find the solutions x = 3 and x = 7.
Step-by-step explanation:
The given expression, x² - 10x + 21, represents a quadratic equation in mathematics.
To solve this equation, we can factor it or use the quadratic formula. Factoring involves finding two numbers that multiply to the constant term (21) and add up to the coefficient of the x term (-10). In this case, the factors are -3 and -7, so the equation can be factored as (x - 3)(x - 7) = 0.
Solving for x, we find that x = 3 or x = 7. Therefore, the solutions to the given equation are x = 3 and x = 7.