Math, asked by Aliens, 1 year ago

Solve the equation 4x² + 9 = 0​

Answers

Answered by Imanu01
3

ANSWER⭐⭐❣❣

4X^2+9=0

4X^2=-9

X^2=-9/4

X=root(-9/4)

X=-3/2

HOPE IT HELPS YOU✔✔✨✨✌✌

Answered by TheInsaneGirl
33
 <b> <i> <u> Heya!! </b> </i> </u>

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✔Given Equation → 4x² + 9

The Equation can be rewritten as :-

→ 4x² - 9i² = 0

→ (2x)² - (3i)² = 0

=> ( 2x + 3i) (2x - 3i)

★ 2x + 3i = 0

=> 2x = -3i

 = > x = - \frac{ 3}{2} i........(1)

★2x - 3i = 0

=> 2x = 3i

 = > x = \frac{3}{2} i........(2)


•°• The above mentioned are the two possible values of x !

 &lt;b&gt; Identities Used <br /><br />★ i² = -1 <br /><br />★ a² - b² = ( a + b ) ( a - b)<br /><br />&lt;/b&gt;

[Note ] : I've solved the equation by using Complex Number system as there's no specific mention in the question!


 &lt;u&gt; Thanks !! &lt;/u&gt;


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