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nexus9112 [7]
3 years ago
14

1/b+x=3b/2x^2 - 1/xbtw ^2 means square​

Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Answer:

x =  \frac{ - 3b}{4}  \: or \: b

Step-by-step explanation:

\frac{1}{b + x}  =  \frac{3b}{2 {x}^{2} }  -  \frac{1}{x}

=  >  \frac{1}{b + x}  =  \frac{3b - 2x}{2 {x}^{2} }

=  > 2 {x}^{2}  = (b + x)(3b - 2x)

=  > 2 {x}^{2}  = 3 {b}^{2}  - 2bx + 3bx - 2 {x}^{2}

=  > 2 {b}^{2}  = 3 {b}^{2}  + bx - 2 {x}^{2}

=  > 3 {b}^{2}  + bx - 4 {x}^{2}  = 0

=  > 3 {b}^{2}  + 4bx - 3bx - 4 {x}^{2}  = 0

=  > b(3b + 4x) - x(3b + 4x) = 0

=  > (3b + 4x)(b - x) = 0

Hence,

x =  \frac{ - 3b}{4}  \: or \: b

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