Question

if a+¹/a= then a³+1=​

Answer 1

Given  : a  + 1/a)   = 1

To Find  : a³ + 1

Solution:

a  + 1/a   = 1

=> a²  + 1  = a

=> a² - a  +  1 = 0

a³ + b³  = (a + b)(a² -ab + b²)

a = a  and b = 1

a³ + 1  = (a + 1)(a² - a + 1)

substituting a² - a  +  1 = 0

=> a³ + 1  = (a + 1)0

=> a³ + 1  =  0

Hence if   a  + 1/a   =  1  then  a³ + 1 = 0

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