Question

Which number could be added to the given expression to result in the sum of 0?

A) -10
B) -4
C) 4
D) 10.

Answer 1

To find the number that can be added to the expression to result in a sum of 0, we need to solve the quadratic equation using the quadratic formula.

Step-by-step explanation:

To find the number that can be added to the expression to result in a sum of 0, we need to solve the quadratic equation. The given expression is of the form at² + bt + c, with a = 4.90, b = 14.3, and c = -20.0. We can use the quadratic formula to find the solutions.

The quadratic formula is:

x = (-b ± √(b² - 4ac))/(2a)

Substituting the values a, b, and c into the formula and simplifying, we get:

x = (-14.3 ± √(14.3² - 4 * 4.90 * -20.0))/(2 * 4.90)

Solving this equation will give us the values of x. We can then check which of the given options (-10, -4, 4, or 10) is equal to the value of x resulting in a sum of 0.