Question

find the zeros of the polynomial
$4x { }^{2} + 4 \sqrt{3}x + 3$
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Answer 1

4x² + (4√3)x + 3

= 4x² + (2√3)x + (2√3)x + 3

= 2x(2x + √3) + √3(2x + √3)

= (2x + √3)(2x + √3)

= (2x + √3)²

Answer 2

4x^2+4√3+3

Quadratic Eq.

D=b^2-4ac

D=(4✓3)^2-4(4)(3)

D=48-48

D=0

-b+✓d/2a

-4✓3+0/2(4)

-4✓3/8

-1✓3/4

-b-✓d/2a

-4✓3/8

-1✓3/4

The roots will be equal as discriminate is zero

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