20-08-2020
Mathematics

contestada

. Find the value of p for which 2x2 + 6x + 3p = 0 has reciprocal roots.

Respuesta :

Alfpfeu Alfpfeu

20-08-2020

Hello, the product of the roots is

[tex]\dfrac{3p}{2}[/tex]

So, if there are reciprocal roots, their product is 1, and then

[tex]\dfrac{3p}{2}=1<=> p=\dfrac{2}{3}[/tex]

Thank you

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