Equation `x^4+ax^3+bx^2+cx+1=0` has real roots (a,b,c are non-negative). Minimum non-negative real value of c is

Equation x^4ax^3+bx^2+cx+1=0 has real roots (a,b,c are non-negative). Minimum non-negative real value of b is

Equation x^4ax^3+bx^2+cx+1=0 has real roots (a,b,c are non-negative). Minimum non-negative real value of a is

Equation x^4+ax^3+bx^2+cx+1=0 has real roots (a,b,c are non-negative). Minimum non-negative real value of b is

Equation x^4+ax^3+bx^2+cx+1=0 has real roots (a,b,c are non-negative). Minimum non-negative real value of a is

Equation x^4+ax^3+bx^2+cx+1=0 has real roots (a,b,c are non-negative). Minimum non-negative real value of a is (a) 10 (b) 9 (c) 6 (d) 4

Equation x^4+ax^3+bx^2+cx+1=0 has real roots (a,b,c are non-negative). Minimum non-negative real value of b is (a) 12 (b) 15 (c) 6 (d) 10

The quadratic equation ax^(2)+bx+c=0 has real roots if:

The quadratic equation ax^(2)+bx+c=0 has real roots if:

If a,b,c are real distinct numbers such that a ^(3) +b ^(3) +c ^(3)= 3abc, then the quadratic equation ax ^(2) +bx +c =0 has (a) Real roots (b) At least one negative root (c) Both roots are negative (d) Non real roots