Step-by-step explanation:
A quadratic equation can be constructed from their roots,
[tex](x - p)(x - q)[/tex]
where p and q are the roots.
Here the roots are
[tex]2 - \sqrt{3} [/tex]
and
[tex]2 + \sqrt{3} [/tex]
So we have
[tex](x - (2 - \sqrt{3} ))(x - (2 + \sqrt{3} ))[/tex]
[tex] {x}^{2} - 2x - x \sqrt{3} - 2x + x \sqrt{3} + 4 - 3[/tex]
[tex] {x}^{2} - 4x + 1 = 0[/tex]
So our answer is x^2
[tex] {x}^{2} - 4x + 1 = 0[/tex]
