Math, asked by clove, 3 months ago

13b+c
Given that a=
b-c '
(i) make b the subject of the formula,
(ii) find the value of b when a = 2 and c=5.
V 6-

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Answers

Answered by abhiveni56
1

Answer:

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Answered by ark212002
0

Answer:

I)

b = \frac{c( {a}^{2}  + 1)}{( {a}^{2}  - 3)}

ii)

 \frac{25}{3}

Step-by-step explanation:

(I)

a =  \sqrt{ \frac{3b + c}{b - c} }  \\  {a}^{2}  =  \frac{3b + c}{b - c}  \\  {a}^{2} b -  {a}^{2} c = 3b + c \\  {a}^{2} b - 3b =  {a}^{2} c + c \\ b( {a}^{2}  - 3) = c( {a}^{2}  + 1) \\ b =  \frac{c( {a}^{2}  + 1)}{( {a}^{2}  - 3)}

(ii)

b =  \frac{c( {a}^{2}  + 1)}{( {a}^{2}  - 3)} \\ b =  \frac{5( {2}^{2} + 1)}{ {2}^{2} - 1}  =  \frac{5 \times 5}{4 - 3}  =  \frac{25}{1} = 25

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