Question

If a be a root of the equation x?-X-1 = 0 then prove that other root is a cube -3a

Answer 1

Answer:

Let ß is one root and 2ß is 2nd root

x

2

−px+q=0 so,

The sum of the roots=P

ß+2ß=P

ß=

3

P

---(1)

The product of the roots =q

2ß.ß=q

2ß

2

=q

put eqn (1)

2(

3

P

)

2

=q

2P

2

=