Question

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


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

Answer 1

a = ±
`\sqrt{(2d-2c)/(b) }`

Explanation:

c +
`(1)/(2)` a²b = d ( multiply through by 2 to clear the fraction )

2c + a²b = 2d ( subtract 2c from both sides )

a²b = 2d - 2c ( divide both sides by b )

a² =
`(2d-2c)/(b)` ( take square root of both sides )

a = ±
`\sqrt{(2d-2c)/(b) }`