If α, β are roots of the quadratic equation $x^{2} + b x - c = 0$ , then the equation whose roots are b and c is:

Open in App

Solution

$x^{2} + (α + β + α β) x + α β (α + β) = 0$

Suggest Corrections

Similar questions

If $α, β$ are the roots of the equation $a x^{2} + b x + c = 0$ such that $β < α < 0,$ then the quadratic equation whose roots are $| α |, | β |$ is given by

Q. Let

α, β

be the roots of the equation

a x^{2} + b x + c = 0

. Then find the quadratic equation whose roots are

α + β

and

α . β

If $α$ and $β (α < β)$ are the roots of the equation $x^{2} + b x + c = 0$ , where $c < 0 < b$ , then

Q. If

α

and

β

are the roots of the quadratic equation

a x^{2} + b x + c = 0,

then

lim x \to \frac{1}{α} \sqrt{\frac{1 - c o s (c x^{2} + b x + a)}{2 (1 - α x)^{2}}}

Join BYJU'S Learning Program

If α, β are roots of the quadratic equation x2+bx−c=0, then the equation whose roots are b and c is:

x2+(α+β+αβ)x+αβ(α+β)=0

If α, β are roots of the quadratic equation $x^{2} + b x - c = 0$ , then the equation whose roots are b and c is:

$x^{2} + (α + β + α β) x + α β (α + β) = 0$