If the quadratic equations ` x^(2) +pqx +r=0 and z^(2) +prx +q=0` have a common root then the equation containing their other roots is/are

If the quadratic equations x^(2)+bx+ca=0&x^(2)+cx+ab=0 (where a!=0 ) have a common root.prove that the equation containing their other root is x^(2)+ax+bc=0

If the quadratic equations x^2+bx+ca=0 & x^2+cx+ab=0 (where a!= 0 ) have a common root. prove that the equation containing their other root is x^2+ax+bc=0

If the equations px^2+2qx+r=0 and px^2+2rx+q=0 have a common root then p+q+4r=

If the equations px^2+2qx+r=0 and px^2+2rx+q=0 have a common root then p+q+4r=

If the equations x^(2)-x-p=0 and x^(2)+2px-12=0 have a common root,then that root is

If the equation x^(2)+abx+c=0 and x^(2)+acx+b=0 have a common root.Show that the quadratic equation containing the other roots is a(b+c)x^(2)+(b+c)x-abc=0

If the quadratic equation x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b) have a common root, the find the numeical value of a +b.

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)-px+q=0 and x^(2)-ax+b=0 have a common root and the second equation has equal roots then