Let - - be the roots of the quadratic equation x2-p x-p3-0 - If - - is a pt- on the parabola y2-x- then what are the roots of the qudratic equation-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Nature of Roots of a Cubic Polynomial Using Derivatives

Let α, β be t...

Question

Let α, β be the roots of the quadratic equation x² + px + p³ = 0. If (α, β) is a pt. on the parabola y² = x, then what are the roots of the qudratic equation?

Open in App

Solution

Suggest Corrections

Similar questions

α

β

x^{2} + p x + p^{3} = 0 (p \neq 0)

(α, β)

y^{2} = x

α, β

x^{2} + p x + p^{3} = 0 (p \neq 0) . I f (α, β)

y^{2} = x

α

β

x^{2} + p x + p^{3} = 0

p \neq 0

(α, β)

x = y^{2}

α, β

x^{2} - x - 1 = 0,

\frac{1 + α}{2 - α}, \frac{1 + β}{2 - β}

α

β

x^{2} - p x + q = 0

(α^{2} - β^{2}) (α^{3} - β^{3})

α^{3} β^{2} + α^{2} β^{3}

Join BYJU'S Learning Program