Question

Make x the subject of the formula for Q20.

Answer 1

`x = \sqrt{m((a)/(b))^(2) +n }`

Explanation:

`a\sqrt{((x^(2) - n )/(m)) } = (a^(2) )/(b)`

`\sqrt{(x^(2) - n )/(m) } = (a)/(b)` [Divide both sides by
`a`]

`(x^(2) - n)/(m) = ((a)/(b) )^(2)` [Square both sides]

`x^(2) -n = m((a)/(b) )^(2)` [Multiply both sides by m]

`x^(2) =m((a)/(b) )^(2) + n` [Bring n to the right]

`x = \sqrt{m((a)/(b))^(2) +n }` [Square root both sides]