the zeros of quadratic polynomial X square + 4 x + k are alpha and beta evaluate the values of k if alpha plus 2 beta -1​

2 thoughts on “the zeros of quadratic polynomial X square + 4 x + k are alpha and beta evaluate the values of k if alpha plus 2 beta -1​”

1. [tex]\large{\pmb{\underline{\underline{\sf{Answer~-}}}}}[/tex]

   [tex]\huge{\underline{\underline{\frak{\pink{—}}}}}[/tex]

   [tex]\dashrightarrow[/tex]

   given that

   α+β = αβ

   where α and β are the roots of the equation x² – (k-6)x +(2k +1) = 0

   solution:-
   

   we know that;

   α+β = – (coefficient of x )/( coefficient of x² )

   =

   and αβ = (constant term)/(coefficient of x²)

   =

   in the question it is given that

   α+β = αβ

   => – (coefficient of x )/( coefficient of x² ) =(constant term)/(coefficient of x²)

   => -{-(k -6) } / 1 = (2k +1) / 1

   => (k – 6) = 2k +1

   => 2k – k = -6 -1

   => k = – 7answer

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2. Step-by-step explanation:

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