If the quadratic equations `ax^(2)+2bx+c=0 and ax^(2)+2cx+b=0, (b ne c)` have a common root, then show that `a+4b+4c=0`

If the quadratic equation ax^(2)+2cx+b=0 and ax^(2)+2bx+c=0(b!=c) have a common root,then a+4b+4c=

If the quadratic equation ax^(2) + 2cx + b = 0 and ax^(2) + 2x + c = 0 ( b != c ) have a common root then a + 4b + 4c is equal to

If the quadratic equation ax^(2) + 2cx + b = 0 and ax^(2) + 2x + c = 0 ( b != c ) have a common root then a + 4b + 4c is equal to

If the quadratic equations ax^2+2cx+b =0 and ax^2+2bx+c =0 (b ne 0) have a common root, then a+4b+4c is equal to

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 ax^2 + 2cx + b=0 and ax^2 + 2bx +c=0 ( b ne 0) have a common root , then b+c=

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

Suppose the that quadratic equations ax^(2)+bx+c=0 and bx^(2)+cx+a=0 have a common root. Then show that a^(3)+b^(3)+c^(3)=3abc .