If a , b , c are real distinct numbers such that a 3+ b 3+ c 3=3 abc, then the quadratic equation ax 2+ bx + c =0 has

Question

If a , b , c are real distinct numbers such that a 3+ b 3+ c 3=3 abc, 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

Tardigrade Admin · Accepted Answer

Correct answer is (a) Real roots

Q. If a,b,c are real distinct numbers such that a3+b3+c3=3abc, then the quadratic equation ax2+bx+c=0 has

Real roots

At least one negative root

Both roots are negative

Non real roots

Correct answer is (a) Real roots

Q. If $a, b, c$ are real distinct numbers such that $a^{3} + b^{3} + c^{3} = 3 ab c$ , then the quadratic equation $a x^{2} + b x + c = 0$ has