In the following equation given below, find the value of $^{'} a^{'}$ :
$4 x^{2} + a x + 9 = {(2 x + 3)}^{2}$

a = 12

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a = 17

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a = 11

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a = 19

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Solution

The correct option is D $a = 12$
$4 x^{2} + a x + 9 = {(2 x + 3)}^{2}$
$=> 4 x^{2} + a x + 9 = 4 x^{2} + 2 (2 x) (3) + 9$
$=> a x = 12 x$
$=> a = 12$

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