If the equations `ax^2+bx+c=0` and `cx^2+bx+a=0, a!=c` have a negative common root then the value of `a-b+c=`

If the equation ax^(2)+2bx+c=0 and ax62+2cx+b=0b!=c have a common root,then (a)/(b+c)=

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If the equations ax^(2)+bx+c=0 and x^(2)+x+1=0 has one common root then a:b:c is equal to

If the quadratic equations ax^(2)+cx-b=0 and ax^(2)-2bx+(c)/(2)=0,(b+(c)/(2)!=0) have a common root,then the value of a-4b+2c is

If one root of the equations ax^(2)+bx+c=0 and bx^(2)+cx+a=0, (a, b, c in R) is common, then the value of ((a^(3)+b^(3)+c^(3))/(abc))^(3) is

If the equation ax^(2)+2bx+c=0 and ax^(2)+2cx+b=0,a!=o,b!=c, have a common too then their other roots are the roots of the quadratic equation

If the equations ax^(2)+bx+C=0 and x^(2)+2x+4=0 have a common root then find a:b:c