Question

Rearrange the formula below to make 'a' the new subject:


`c + (1)/(2)a^(2)b = d`

is the bottom answer correct for this question? :


`a = \sqrt{2((d-c)/(b) )}`

Answer 1

Explanation:

c + 1/2 × a²b = d | - c on both sides

1/2 × a²b = d - c | ×2 on both sides

a²b = 2(d - c) | /b on both sides

a² = (2/b) × (d - c) | sqrt on both sides

a = sqrt(2(d - c)/b)

yes, the given answer is correct.