Identity and common roots

Illustration based On common roots

pair of orbitals which have identical orientation and common nodal plane (s) :

The equations x^(2)-2x+1=0,x^(2)-3x+2=0 have a common root then that common root is

Condition OF common roots || General secound degree equation || Theory OF equation

Questions on identiity || Condition OF common root

If the equations x^(2)+ax+b=0 and x^(2)+a'x+b'=0 have a common root then this common root is equal to

Find the number of common roots of 15^(th) roots of unity, which are also 25^(th) roots of unity .

The equation x^3+px^2+qx+r=0 and x^3+p\'x^2+q\'x+r'=0 have two common roots, find the quadratic whose roots are these two common roots.

Problems based on Range of quadratic polynomial and Transformation of roots |Condition of common root | Range of quadratic polynomial