find the values of a and b , if a√5 - b = 3-√5/3+2√5
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Hi ,
LHS = ( 3 - √5 )/(3 + 2√5 )
= [(3-√5)(2√5-3)]/[(2√5+3)(2√5-3)]
= [6√5 - 9 -10 + 3√5 ]/[ ( 2√5 )² - 3² ]
= ( 9√5 - 19 )/( 20 - 9 )
= ( 9√5 - 19 )/11
= ( 9/11 )√5 - 19/11 ---( 1 )
= a√5 - b ----------( 2 ) [ RHS ]
from ( 1 ) and ( 2 ) ,
a = 9/11 ,
b = 19/11
I hope this helps you.
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