If `(2a-5)x^2-4x-15=0 and (3a-8)x^2-5x-21=0}` have equal root then

Determine the value of k such that the equation (2k-5)x^2-4x-15=0 and (3k-8)x^2-5x-21=0 may have a common root.

If equations x^2-5x+5=0 and x^3+ax^2+bx+5=0 have common root then a+b=

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

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

IF x^2-4x+3=0,x^2-5x+k=0 have a common root, then k

If 3x^(2)-7x+2=0 and 15x^(2)-11x+a=0 have a common root and a is a positive real number then the sum of the roots of the equation 15x^(2) -ax +7=0 is

The equation ax^(2)+bx+c=0 and x^(3)-4x^(2)+8x-8=0 have two roots in common. Then 2b + c is equal to _______.