If a and 4a + 3b + 2c have same sign. Then, `ax^(2) + bx + c = 0(a ne 0)` cannot have both roots belonging to

If a=c=4b , then the roots of ax ^(2) + 4 bx + c =0 are

The roots of a quadratic equation ax^2- bx + c = 0, a ne 0 are

IF x^2 +bx +c=0, x^2+cx +b=0 (b ne c) have a coomon root then b+c=

If alpha , beta are the roots of ax^(2) +bx+c=0, ( a ne 0) and alpha + delta , beta + delta are the roots of Ax^(2) +Bx+C=0,(A ne 0) for some constant delta , then prove that (b^(2)-4ac)/(a^(2))=(B^(2)-4AC)/(A^(2)) .

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