Question

Find the solutions of the quadratic equation 14x² - 11x + 10 = 0. a) x = 11/14, 10/7

b) x = 10/7, 11/14
c) x = 11/14, -10/7
d) x = -10/7, 11/14"

Answer 1

The solutions to the quadratic equation 14x² - 11x + 10 = 0 are x = 10/7 and x = 11/14.

Step-by-step explanation:

The given quadratic equation is 14x² - 11x + 10 = 0.

To find the solutions, we can use the quadratic formula: x = (-b ± √(b² - 4ac))/(2a).

Substituting the values a = 14, b = -11, and c = 10 into the formula, we get:

x = (11 ± √((-11)² - 4 * 14 * 10))/(2 * 14).

This gives us two possible solutions: x = 11/14 and x = 10/7.

Therefore, the correct answer is option b) x = 10/7, 11/14