Question

if 2a - 2/a=3, then 4a/a^2 - a - 1 =?​

Answer 1

Step-by-step explanation:

we will factorise the given first equation

and then find the value of a

Answer 2

Answer:

$\red { Value \: of \: \frac{4a}{a^{2} - a - 1} }\green {= 8 }$

Step-by-step explanation:

$Given \: 2a - \frac{2}{a} = 3$

$\implies \frac{2a^{2} - 2}{a} = 3$

$\implies 2a^{2} - 2 = 3a$

$\implies 2a^{2} - 3a - 2= 0$

$\implies 2a^{2} -4a + 1a - 2 = 0$

$\implies 2a(a-2) +1(a-2) = 0$

$\implies (a-2)(2a+1) = 0$

$\implies a-2 = 0 \:Or \:2a + 1 = 0$

$\implies a = 2 \: Or \: a = \frac{-1}{2}$

$Now,If \: a = 2, \: Value \: of \: \frac{4a}{a^{2} - a - 1 }\\= \frac{ 4\times 2 }{2^{2} - 2 - 1 } \\= \frac{8}{4-3}\\= 8$

Therefore.,

$\red { Value \: of \: \frac{4a}{a^{2} - a - 1} }\green {= 8 }$

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