Question

a^2-3a-1=0 find i) a-1/a,ii)a+1/a, iii)a^2-1/a^2​

Answer 1

Answer

i]3

ii]7

Step-by-step explanation:

Given that ;

a² - 3a + 1 = 0

⇒ a² - 3a = - 1

⇒ a(a - 3) = - 1

⇒ a - 3 =  

⇒ a - 3 +  = 0

⇒ a +  = 3

Hence, the answer is 3.

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(ii) To find the value of a² +  

On squaring both sides ;

Hence, the answer is 7.