Question

Enter the correct answer in the box. What are the solutions of this quadratic equation? r² = 168 – 65

A. r = ±11
B. r = ±5
C. r = ±10
D. r = ±7

Answer 1

The solutions of the quadratic equation r² = 168 − 65 are r = ±10, so the correct answer is C. r = ±10.

Step-by-step explanation:

To find the solutions of the quadratic equation r² = 168 − 65, first simplify the equation by calculating the numerical value on the right side of the equation:

r² = 103

Take the square root of both sides to solve for r:

r = ±103

Thus, the absolute value of r is 10.15, which is closest to 10. Therefore, the correct choice that represents the solutions of the quadratic equation is:

C. r = ±10