Final answer:
The value of x in the equation is approximately -79/7 or 97/9.
Step-by-step explanation:
This expression is a quadratic equation of the form ax² + bx + c = 0, where the constants are a = 4.90, b = 14.3, and c = -20.0. Its solutions are given by the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Plugging in the values, we get:
x = (-14.3 ± √(14.3² - 4(4.90)(-20.0))) / (2(4.90))
After simplifying the equation, we find that the solutions are:
x ≈ -79/7 or 97/9.