Question

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

Answer 1

Answer:

$\huge{\mid{\overline{\underline{\fbox{\color{olive}{Answer}}}\mid}}}$

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$\large\mathfrak{\underline{\color{red}{Given}}}$

$\sf{x = 3}$

$\large\mathfrak{\underline{\color{red}{Proof}}}$

$\sf{:⟹ {5x}^{2} - 2 a x + 3}$

$\sf {:⟹ \: {(5 \times 3)}^{2} - 2 \times a \times 3 + 3 }$

$\sf{:⟹ {(15)}^{2} - 6a + 3 }$

$\sf{:⟹ \: 225 - 6a + 3}$

$\sf{:⟹228 - 6a = 0}$

$\sf{:⟹228 = 6a}$

$\sf{:⟹ \: a = \frac{228}{6} }$

$\large\sf{\color{purple}\fbox{\color{aqua}{:⟹a = 38}}}$

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Answer 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 :

$x = 3$

To Find :

$a = ?$

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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