QJEEM21Mafcba: JEE Main 2021 Mathematics - Class 12 JEEM21Mafcba Solution: Let α , β , γ be the real roots of the equation, x 3 + ax 2 +…

Let $$\alpha$$, $$\beta$$, $$\gamma$$ be the real roots of the equation, x³ + ax² + bx + c = 0, (a, b, c $$\in$$ R and a, b $$\ne$$ 0). If the system of equations (in u, v, w) given by $$\alpha$$u + $$\beta$$v + $$\gamma$$w = 0, $$\beta$$u + $$\gamma$$v + $$\alpha$$w = 0; $$\gamma$$u + $$\alpha$$v + $$\beta$$w = 0 has non-trivial solution, then the value of $$\frac{a^2}{b}$$ is