Question

Make a the subject of formula b=a^2/(a+c)^2​

Answer 1

`\orange { \bold{a = (c √(b) )/((1 - √(b)) ) }}`

Explanation:

`b = \frac{ {a}^(2) }{ {(a + c)}^(2) } \\ \\ b = \bigg(\frac{ {a} }{ {a + c}} \bigg)^(2) \\ \\ √(b) = (a)/(a + c) \\ \\ (a + c) √(b) = a \\ \\ a √(b) + c √(b) = a \\ \\ a √(b) - a = - c √(b) \\ \\ a( √(b) - 1) = - c √(b) \\ \\ a = ( - c √(b) )/(( √(b) - 1)) \\ \\ \purple{ \bold{a = (c √(b) )/((1 - √(b)) ) }}`