Question

27. If a = 1/(3−√11)and b = 1/a, then find a2

– b2​

Answer 1

Step-by-step explanation:

a = √11 /3b = 1/ a = 1 / ( √ 11 /√3 ) = 3 / √11 a2 - b2 = ( √11 / 3 ) 2 - (3/√11 ) 2 = { ( √11)2 /3 ) 2 } - ( 3 )2 /( 11) 2 } = ( 11 /9 ) - ( 9 /11 ) = ( 121 -81 ) / 99 = 40 / 90