Common Roots

Questions on identiity || Condition OF common root

What are the Condition for 1 Common root or both common root?

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

If x^(2)+4ax+3=0 and 2x^(2)+3ax-9=0 have a common root,then the value of a,the common root are

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

If the equations x^2+bx+c=0 and x^2+dx+e=0 have a common root, which of fhe dollowing can be the common root?

If a_(1)x^(2)+b_(1)x+c_(1)=0 and a_(2)x^(2)+b_(2)x+c_(2)=0 has a common root,then the common root is

if each pair of the equation x^(2)+ax+b=0,x^(2)+bx+c=0 and x^(2)+cx+a=0 has common root,then product of all common root is

If every pair from among the equations x^(2)+px+qr=0,x^(2)+qx+rp=0 and x^(2)+rx+pq=0 has a common root then the product of three common root is