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

Find the common root of x^2-3x+2 =0 and x^2+x-2 =0

The common root of the equations x^(2)-7x+10=0 and x^(2)-10x+16=0 is

The multiple roots of x^(4) - 2x^(3) - 11x^(2) + 12x + 36 = 0 are

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=

If the roots of x^4 +5x^3 - 30 x^2 - 40 x+64=0 are in G.P then roots of x^4 - 5 x^3 - 30 x^2 + 40 x+ 64 =0 are in

If the roots of x^4 +5x^3 - 30 x^2 - 40 x+64=0 are in G.P then roots of x^4 - 5 x^3 - 30 x^2 + 40 x+ 64 =0 are in

Determine the nature of the roots of the following equatins : (a) x^(3) + 2x +4 = 0 (b) 3x^(2) - 10x + 3 = 0 (c ) x^(2) - 24x + 144 = 0

If one of the root x^(4) - 5x^(3) + 10x^(2) - 20x + 24 = 0 is purely imaginary then the roots are