B^2-b=72

Answer 1

To solve the equation B^2 - b = 72, we need to find the values of B and b that satisfy the equation.

Let's rearrange the equation:

B^2 - b - 72 = 0

Now, we can solve this quadratic equation by factoring:

(B + 8)(B - 9) = 0

Setting each factor to zero, we get:

B + 8 = 0 --> B = -8
B - 9 = 0 --> B = 9

So, the values of B that satisfy the equation are B = -8 and B = 9.

Substituting these values back into the original equation, we can find the corresponding values of b:

For B = -8:
(-8)^2 - b = 72
64 - b = 72
-b = 72 - 64
-b = 8
b = -8

For B = 9:
9^2 - b = 72
81 - b = 72
-b = 72 - 81
-b = -9
b = 9

Therefore, the corresponding values of b are b = -8 and b = 9.