Question

Find the values of a, b, and c in the equation below.

Options:
A) a = 3, b = 5, c = 4
B) a = 5, b = 3, c = 4
C) a = 4, b = 5, c = 3
D) a = 4, b = 3, c = 5

Answer 1

The values of a, b, and c in the equation are a = 4, b = 3, and c = 5. Substituting these values into the quadratic formula, you get two possible solutions for x: x₁ = 10.0 and x₂ = -20.0.

Step-by-step explanation:

The values of a, b, and c in the equation are a = 4, b = 3, and c = 5.

To find the values of a, b, and c, you can use the quadratic formula:

• x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the given values a = 1.00, b = 10.0, and c = -200 into the quadratic formula, you get:

• x = (-10.0 ± √(10.0^2 - 4 * 1.00 * -200)) / (2 * 1.00)

Simplifying further, you have:

• x = (-10.0 ± √(100.0 + 800.0)) / 2.00
• x = (-10.0 ± √900.0) / 2.00
• x = (-10.0 ± 30.0) / 2.00

The two possible solutions are:

• x₁ = (-10.0 + 30.0) / 2.00 = 20.0 / 2.00 = 10.0
• x₂ = (-10.0 - 30.0) / 2.0 = -40.0 / 2.00 = -20.0