question:
if α and ß are the zeros of the polynomial 2x² + 5x +1 find the value of α+ ß + αß.​

2 thoughts on “question:<br />if α and ß are the zeros of the polynomial 2x² + 5x +1 find the value of α+ ß + αß.​”

1. Answer:

   [tex]\huge \huge \bf {\: \pmb{Question}}[/tex]

   Q. if α and ß are the zeros of the polynomial 2x² + 5x +1 find the value of α+ ß + αß.

   Given:–

   • α and ß are the zeros of the polynomial 2x² + 5x +1

   Required to find :–

   • the value of α+ ß + αß.

   [tex]\huge \huge \bf {\: \pmb{ \green{solution}}}[/tex]

   equation → 2x² + 5x +1

   then, a = 2 , b = 5 and c = 1

   we know that α+ ß = [tex]\frac{-b}{a}[/tex]

   = [tex]\frac{-5}{2}[/tex]

   we know that α×ß = [tex]\frac{c}{a}[/tex]

   = [tex]\frac{1}{2}[/tex]

   now, α+ ß + αß

   = ( [tex]\frac{-5}{2}[/tex] ) + [tex]\frac{1}{2}[/tex]

   = [tex]\frac{-5+1}{2}[/tex]

   = [tex]\frac{-4}{2}[/tex]

   = -2

   thus, the value of α+ ß + αß is -2

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2. [tex]\bf\underline{\underline{solution:-}}[/tex]

   Here α+ ß = -5/2 and αß = 1/2

   Now,

   α + ß + αß = -5/2 + 1/2

   =

   [tex] \frac{ – 5 + 1}{2} [/tex]

   [tex] – \frac{4}{2} [/tex]

   [tex] – 2[/tex]

   Hence the value of α + ß + αß is -2.

   Reply