Question

"ASAP" means "As Soon As Possible." After using the quadratic formula and simplifying the expression, we have the following numerical expression. What is the value of M, P, and K?

a) M = 2, P = 4, K = 8
b) M = -2, P = -4, K = -8
c) M = 2, P = -4, K = -8
d) M = -2, P = 4, K = 8

Answer 1

The values of M, P, and K in the quadratic equation are M = -1.4694, P = 3.5918, and K = -4.0816.

Step-by-step explanation:

The quadratic equation has the form at² + bt + c = 0, where a = 4.90, b = 14.3, and c = -20. To find the values of M, P, and K, we can use the quadratic formula. Substituting the values into the formula, we get:

M = -b / (2a) = -14.3 / (2 * 4.90) ≈ -1.4694

P = -b² - 4ac / (2a) = (-14.3)² - 4 * 4.90 * (-20) / (2 * 4.90) ≈ 3.5918

K = c / a = -20 / 4.90 ≈ -4.0816

Therefore, the correct answer is M = -1.4694, P = 3.5918, and K = -4.0816.