Question

4x2 + 4√3x + 3 = 0 find roots
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Answer 1

Answer:

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Step-by-step explanation:

4x

2

+4

3

x+3=0

4x

2

+2

3

x+2

3

x+3=0

2x(2x+

3

)+

3

(2x+

3

)=0

(2x+

3

)(2x+

3

)=0

x=−

2

3

,−

2

3

Answer 2

$4 {x}^{2} + 4 \sqrt{3x} + 3 = 0 \\ 4 {x}^{2} + 2 \sqrt{3x} + 2 \sqrt{3x} + 3 = 0 \\ 2x (2x + \sqrt{3} ) + \sqrt{3} (2x + \sqrt{3} ) = 0 \\ (2x + \sqrt{3} )(2x + \sqrt{3} ) = 0$

x = - √3/2 , - √3/2

same roots