To find the value of "b" in the equation A^2 - C^2 = B^2, where A = 8 and C = 17, we can substitute the given values into the equation and solve for B.
Substituting the values, we have (8)^2 - (17)^2 = B^2. Now, let's evaluate the equation:
(8)^2 - (17)^2 = B^2
64 - 289 = B^2
-225 = B^2
To solve for B, we need to find the square root of both sides of the equation:
√(-225) = √(B^2)
Remember that the square root of a negative number is not a real number, so the equation has no real solutions. Therefore, there is no specific value of "b" that satisfies the equation A^2 - C^2 = B^2 when A = 8 and C = 17.
Hence, the short answer is: There is no value of "b" that satisfies the equation.