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Let =3+4+8+9+13+14+ upto 40 terms. If ( ) 1020 is a root of the equation x2+x-2=0, (0, 2 ), then 2 +3 2 is equal to :
(1) 2
Pairing the terms: (3+4)+(8+9)+(13+14)+ = 7+17+27+ (20 terms, A.P. with d=10)
= 202 [2(7)+19(10) ]=10 204=2040
1020=2, so ( )2 is a root of x2+x-2=0
x2+x-2=(x+2)(x-1)=0 x=1 or -2
2 0 2 =1 = 4 ( (0, 2 ) )
2 +3 2 = 12+ 32=2
Answer: (1)
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