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:

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Solution

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

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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:

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