Final answer:
To solve the quadratic equation u² - 2u - 43 = 0, use the quadratic formula to find the solutions.
Step-by-step explanation:
This expression is a quadratic equation of the form ax² + bx + c = 0, where the constants are a = 1, b = -2, and c = -43. To solve this equation, we can use the quadratic formula:
x = (-b ± sqrt(b² - 4ac)) / (2a)
Plugging in the values, we get:
x = (-(-2) ± sqrt((-2)² - 4(1)(-43))) / (2(1))
x = (2 ± sqrt(4 + 172)) / 2
x = (2 ± sqrt(176)) / 2
x = (2 ± 13.26) / 2
Therefore, the solutions to the equation are approximately x = -5.63 and x = 7.63, rounded to the nearest whole number.