If equations x2−kx−21=0 and x2−3kx+35=0;k>0 have a common root, then k is equal to:
The equations x2−kx−21=0 and x2−3kx+35=0 have a common root.
So, equating the two equations:
x2−kx−21=x2−3kx+35
2kx=56
k=28x
Putting in the equation:
x2−28−21=0
x2=49
x=+7
or k=+4,As,k>0,k=4.