" (16) "a^(2)x^(2)-11a^(2)x+30a^(2)-a-1,a!=0

find zeroes of the given quadratic polynomials and verify the relation between zeroes and coefficients : a^(2)x^(2)-11a^(2)x+30a^(2)-a-1,a ne 0

2x^(2)-11x+5=0

The common root of x^(2)-11x+30=0 and x^(2)-10x+24=0

Solve the following equations by Sridharacharya's formula : (i) x^(2)+x+4=0 (ii) 2x^(2)-2x+3=0 (iii) sqrt(2)x^(2)+x+sqrt(2)=0 (iv) x^(2)-x+2=0 (v) 25x^(2)-30x+11=0 (vi) x^(2)+3x+5=0 (vii) x^(2)-14x+58=0 (viii) x^(2)+13ix -42=0 (ix) x^(2)-11ix-30=0

The equation whose roots are diminished by 1 than those of 4x^(3)-x^(2)+2x-3=0 is (A) 4x^(3)-11x^(2)+12x+2=0 (B) 4x^(3)-11x^(2)+12x-3=0 (C) 4x^(3)+11x^(2)+12x+2=0 (D) 4x^(3)+11x^(2)+12x-3=0

If alpha,beta are the roots of the equation 2x^(2)+4x-5=0, the equation whose roots are the reciprocals of 2 alpha-3 and 2 beta-3 is - (i) x^(2)+10x-11=0 (ii) 11x^(2)+10x+1=0 (ii) x^(2)+10x+11=0 (iv) 11x^(2)-10x+1=0

Set of values of 'a' for which both roots of the equation x^(2) - 2x - a^(2) = 0 lie between the roots of the equation x^(2) - 2x + a^(2) - 11a + 12 = 0 , is

Set of values of 'a' for which both roots of the equation x^(2) - 2x - a^(2) = 0 lie between the roots of the equation x^(2) - 2x + a^(2) - 11a + 12 = 0 , is