If 1 + √3 and 1 – √3 are the roots of a quadratic equation. then the quadratic equation is:

Correct option is C

Given:

The roots of the quadratic equation are 1 + √3 and 1 – √3

Concept used:

The quadratic equation is of the form $$ax^2 +bx+c=0$$

Solution:

Sum of roots = 2

product of roots:

​$$(1+\sqrt{3})(1-\sqrt{3}) = 1^2- \sqrt({3})^2 = 1-3 = -2$$

Quadratic equation The equation is formed as 

​$$x^2$$ - (sum of roots). x + (Product of roots) = 0

​Substituting values

​$$x^2- 2x-2=0$$

​​The quadratic equation is $$x^2- 2x-2=0$$

Thus, correct option is (c)