Number of roots which are common to the equations `x^3+2x^2+2x+1=0` and `x^(2008)+x^(2009)+1=0,` are (A) 0 (B) 1 (C) 2 (D) 3

If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=0 , then a b= (a) 3 (b) 3.5 (c) 6 (d) -3

If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=0 , then a b=

The common roots of the equation x^(3) + 2x^(2) + 2x + 1 = 0 and 1+ x^(2008)+ x^(2003) = 0 are (where omega is a complex cube root of unity)

The common roots of the equation x^(3) + 2x^(2) + 2x + 1 = 0 and 1+ x^(2008)+ x^(2003) = 0 are (where omega is a complex cube root of unity)

If x=1 is a common root of equations ax^2+ax+3=0 and x^2+x+b=0 then ab=

If x = 1 is a common root of the equations ax^(2) + ax + 3 = 0 and x^(2) + x + b = 0 , then ab =

Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0(b)1(c)2(d)3

If a,b are the roots of the equation x^(2)+x+1=0, thn a^(2)+b^(2)= a.1b.2c-1d.3

If alpha and beta are the roots of the equation x^(2)-x+1=0, then alpha^(2009)+beta^(2009)=-1 (b) 1( c) 2(d)-2

Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0 (b) 1 (c) 2 (d) 3