Final answer:
The provided expression is unclear, mixing elements that do not align with the provided information about a quadratic equation. A correct response cannot be given based on the question as stated.
Step-by-step explanation:
The student is asked to simplify the expression V32 - 52. However, the information provided relates to a quadratic equation of the form at² + bt + c = 0 with constants a = 4.90, b = 14.3, and c = -20.0. The question seems to be incorrectly stated as it mixes the concepts of quadratic equations with the simplification of a square root and subtraction operation. Since the question is not clear and seems to contain typos or irrelevant parts, a correct, confident response cannot be given.
If the correct question was regarding the simplification of the square root of 32 minus the product of 5 and 2, which is V32 - 5*2, the answer would be 8 since the square root of 32 simplifies to 4 times 2 (as 32 is 4 squared times 2) and therefore the expression simplifies to 8 - 10, which equals -2. This does not match any of the provided choices.
If the expression was originally intended to be part of the quadratic equation and we are finding its solutions using the quadratic formula, the solutions would be calculated as follows:
x = (-b ± √(b² - 4ac)) / (2a)
Using the values a = 4.90, b = 14.3, and c = -20.0, we would plug these into the quadratic formula and solve for x. In summary, without the correct expression or context, a conclusive answer cannot be provided.
The complete question is ......What is this expression in simplified form?
V32 - 52
a.8
b.5734
c.12
d.40.................../;