Question

Find the solution(s) of the following equation.

a^2 = 64/225

a. a = 8/15
b. a = 8/ - 15
c. √64/225
d. -√64/225
e. none of the above

Answer 1

The solutions to the equation a^2 = 64/225 are a = 8/15 and a = -8/15, corresponding to options (a) and (b). These solutions are found by taking the square root of both sides of the equation.

Step-by-step explanation:

To find the solution(s) to the equation a^2 = 64/225, we need to take the square root of both sides of the equation. Doing this yields two solutions because the square root of a number can be both positive and negative. Therefore, the solutions are a = √(64/225) and a = -√(64/225).

The square root of 64 is 8, and the square root of 225 is 15, so the solutions simplify to:

• a = 8/15
• a = -8/15

These correspond to options (a) and (b) respectively, so the correct answers are:

a. a = 8/15

b. a = -8/15