Question

Let $\alpha ,\beta$ be the roots of the quadratic equation $x^2+px+p^3=0(p\ne 0).If(\alpha ,\beta )$ is a point on the parabola $y^2=x$, then the roots of the quadratic equation are

• A. 4, ­2
• B. –4, –2
• C. 4, 2
• D. –4, 2

Answer 1

The correct option is A 4, ­2

$\alpha +\beta =-p,\alpha \beta =p^{3}and{\beta }^2=\alpha$
Hence, the roots are 4 and 2