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lukranit [14]
3 years ago
15

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

Mathematics
1 answer:
aniked [119]3 years ago
3 0

Answer:

\orange { \bold{a =  \frac{c \sqrt{b} }{(1 -  \sqrt{b}) } }}

Step-by-step explanation:

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

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Answer:

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