Question

Solve for ( b ): ( 16ab^2 = 25 )

a) ( b = ±5a√4a )

b) ( b = ±5a√4a )

c) ( b = ±5a√4 )

d) ( b = ±5a )

Answer 1

To solve for b in the equation 16ab^2 = 25, we need to divide by 16a and then take the square root of both sides, leading to the solution b = ±5√ a / 4 which is not listed among the options provided.

Step-by-step explanation:

To solve for b in the equation 16ab^2 = 25, we will isolate b through the following steps:

1. 
   
3. Divide both sides of the equation by 16a (assuming a ≠ 0).
4. 
   
6. Take the square root of both sides to solve for b.

Step 1: Divide by 16a

b^2 = 25 / (16a)
b^2 = (5^2) / (4^2a)

Step 2: Take the square root

b = ±5 / (4√ a)
b = ±5√ a / 4
b = ±5 / (2√ a)

Therefore, the correct answer is c) b = ±5√ a / 4 (though it's not listed among the options, which might have been a typo).