In the equation, `ax^2+bx+c=0`, `a,b and c in Z`, if `3+i` is a root of the equation, then value of `a+b+c=?`

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=

A root of equation ax^2+ bx+c=0 (where a, b and c are rational numbers) is 5 +3 sqrt3 . What is the value of (a^2 + b^2 + c^2)//(a+ b + c) ?

If coefficients of the equation ax^(2)+bx+c=0,a!=0 are real and roots of the equation are non-real complex and a+c

In the equation ax^(2)+bx+c=0 , it is given that D=(b^(2)-4ac)gt0. Then, the roots of the equation are

If a root of the equation ax^(2)+bx+c=0 be reciprocal of a root of the equation a'x^(2)+b'x+c'=0 then

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

In a quadratic equation ax^(2)+bx+c=0 if 'a' and 'c'are of opposite signs and 'b' is real, then roots of the equation are

If the ratio of the roots of the equation ax^(2)+bx+c=0 is equal to ratio of roots of the equation x^(2)+x+1=0 then a,b,c are in