Question

One of the solutions to x2 − 2x − 15 = 0 is x = −3. What is the other solution?

Options:
Option a. x = −5
Option b. x = −1
Option c. x = 1
Option d. x = 5

Answer 1

The other solution to the quadratic equation x² - 2x - 15 = 0 is 5.

Step-by-step explanation:

The quadratic equation x² - 2x - 15 = 0 has one solution, x = -3. To find the other solution, we can use the fact that the sum of the solutions of a quadratic equation is equal to the negative of the coefficient of the linear term divided by the coefficient of the quadratic term. In this case, the sum of the solutions is -(-2)/1, which is 2. Therefore, the other solution is 2 - (-3) = 5.