Math, asked by jet42, 1 month ago

if a+b=4,ab=3 find 1/b square +1/a square

Answers

Answered by pranay9018
0

Answer:

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Step-by-step explanation:

a + b \:  = 4 \\  =  > b =  \frac{4}{a} \\  =  > substitute \: the \: value \:  of \: b \:  \\ in \: the \: equation \: we \: get \\  =  > a +  \frac{4}{a}  = 4 \\  =  >  \frac{ {a}^{2} + 4 }{a}  = 4

 {a}^{2}  - 4a + 4 = 0 \\ =  >  {a}^{2}  - 2a - 2a + 4 = 0 \\  =  > a(a - 2) - 2(a - 2) = 0 \\  =  > (a - 2)(a - 2) = 0 \\  =  > a = 2,2 \\  =  > a = 2

now \: substitute \: the \: value \: of \: a \: in \\ the \: equation \: we \: get \\  =  > a + b = 4 \\  =  > 2 + b \:  = 4 \\   = > b = 4 - 2 = 2 \\  =  > b = 2

∴ the value of a,b are 2,2 respectively

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Mark me as a Brainlist pls bcoz ur one Brainlist make me genius rank.

Mark me as a Brainlist pls bcoz ur one Brainlist make me genius rank.

Mark me as a Brainlist pls bcoz ur one Brainlist make me genius rank.

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