Math, asked by sahooaspin, 9 months ago

a=1/a-5, find (i)a-1/a (ii)a+1/a (iii)a2-1/a2​

Answers

Answered by rajivrtp
24

Step-by-step explanation:

a= 1/a-5

=> 1/a = a+5. ........(1)

=> 1 = a²+5a

=> a²+5a-1 = 0

=> a = -5/2±√ (25+4) / 2

a = -5/2±√29/2

putting the value of a gives answers

(ii) a+1/a = a+(a+5) = 2a+5

= -5±√29/2 +5

= ±√29/2

(i) a-1/a = a-(a+5)

= -5

(III) a²-1/a²= (a+1/a)(a-1/a)

= (-5/2)√29

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