Find the value of ‘a’, if 3 is a zero of polynomial 5×2-2ax+3

2 thoughts on “Find the value of ‘a’, if 3 is a zero of polynomial 5×2-2ax+3”

1. Answer:

   [tex]\huge{\mid{\overline{\underline{\fbox{\color{olive}{Answer}}}\mid}}}[/tex]

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   [tex]\large\mathfrak{\underline{\color{red}{Given}}}[/tex]

   [tex]\sf{x = 3}[/tex]

   [tex]\large\mathfrak{\underline{\color{red}{Proof}}}[/tex]

   [tex]\sf{:⟹ {5x}^{2} – 2 a x + 3}[/tex]

   [tex]\sf {:⟹ \: {(5 \times 3)}^{2} – 2 \times a \times 3 + 3 }[/tex]

   [tex]\sf{:⟹ {(15)}^{2} – 6a + 3 }[/tex]

   [tex]\sf{:⟹ \: 225 – 6a + 3}[/tex]

   [tex]\sf{:⟹228 – 6a = 0}[/tex]

   [tex]\sf{:⟹228 = 6a}[/tex]

   [tex]\sf{:⟹ \: a = \frac{228}{6} }[/tex]

   [tex]\large\sf{\color{purple}\fbox{\color{aqua}{:⟹a = 38}}}[/tex]

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2. Question :

   Find the value of ‘a’, if 3 is a zero of polynomial 5x² – 2ax + 3

   Answer :

   a = 8.166

   Step-by-step explanation :

   Given :

   [tex]x = 3[/tex]

   To Find :

   [tex]a = ?[/tex]

   Solution :

   5x² – 2ax + 3

   Put x = 3 in the equation

   5 (3)² – 2a(3) + 3

   = 5 × 9 – 6a + 3

   = 45 – 6a + 3

   = 49 – 6a = 0

   => 49 = 6a

   => 49/6 = a

   a = 8.166

   ☺️☺️

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