If - - 1 are the roots of x3 - 2x2 - 5x - 6 - 0 then find - -

f( x ) =x^3 2x^2 5x+6=0 α,β and 1 are its roots #160; ⇒ x^2 x 6=0 #160; #160; #160; x^2 3x+2x 6=0 #160; #160; #160; ...

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If α, β, 1 ...

Question

If $α, β$ , 1 are the roots of $x^{3} - 2 x^{2} - 5 x + 6 = 0$ then find $α, β$ .

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α, β

1

x^{3} - 2 x^{2} - 5 x + 6 = 0

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β

If $α, β$ are the roots of the equation $2 x^{2} + 5 x + 6 = 0$ , then find the equation whose roots are $\frac{1}{α} a n d \frac{1}{β}$ .

α, β, γ

x^{3} + x^{2} - 5 x - 1 = 0

[α] + [β] + [γ]

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2 x^{2} - 5 x - 6 = 0

α and β

x^{2} - 5 x + 6 = 0

\frac{1}{α} + \frac{1}{β}

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