Let a, b, c be real numbers with $a,c \neq 0$ and let $\alpha$ and $\beta$ be the roots of the equation $ax^2+bx+c=0$. Then one of the roots of the equation $a^3x^2+abcx+b^3=0$ in terms of $\alpha$ and $\beta$ is

Keep practicing — related questions

• If \( \alpha \) and \( \beta \) are the roots of the equation \( x^2 - 6x + 6 = 0 \), what is \( \alpha^3 +...
• If \( \alpha, \beta \) are the roots of the equation \( x^2 + px + 12 = 0 \) and \( \alpha - \beta = 1 \) t...
• A and B are the roots of the equation \(x^2 - 13x + N = 0\). If \(A - B = 3\), what is the value of N?
• \(\text{sin}\alpha \text{ and } \text{cos}\alpha \text{ are the roots of the equation } x^2 - abx + c = 0 \...
• A and B are the roots of the equation x2 – 13x + N = 0. If A – B = 3, what is the value of N? A और B समीकरण...
• In the following questions, two equations numbered I and II are given. You have to solve both the equations...
• In the given question two equations numbered (I) and (II) are given. You have to solve both the equations a...
• In the given question two equations numbered (I) and (II) are given. You have to solve both the equations a...