Find the vaues of p if the equations `3x^2-2x+p=0 and 6x^2-17x+12=0` have a common root.

If the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, then

Find the roots of the equation 3x^2+6x+3=0

Determine the values o m for which equations 3x^2+4m x+2=0a n d2x^2+3x-2=0 may have a common root.

Find the value of k , so that the equation 2x^2+kx-5=0 and x^2-3x-4=0 may have one root in common.

If the equation x^2+ax+bc=0" and " x^2-bx+ca=0 have a common root, then a+b+c =

Find the roots of the equations. Q. 3x^(2)-17x+25=0 .

If a ,b ,c be the sides of A B C and equations a x^2+b x+c=0 and 5x^2+12x+13=0 have a common root, then find /_Cdot

If p, q, r are in G.P. and the equations, p x^2+2q x+r=0 and dx^2+2e x+f=0 have a common root, then show that d/p , e/q , f/r are in A.P.

Find the roots of the quadratic equation 6x^2-x-2=0 .

If x^(2)-6x+5=0 and x^(2)-3ax+35=0 have common root, then find a.