PLEASE HELP!!! Write a quadratic equation if its roots are: √(3) -1/2 and √(3) +1/2

Question

PLEASE HELP!!! Write a quadratic equation if its roots are:
`√(3) -1/2` and
`√(3) +1/2`

Answer 1

x²- √3 x +1/2

Explanation:

To write a quadratic equation with roots only:

x² -(sum of the roots)x+(product of roots)

x²-((√3-1/2)+(√3+1/2)x + ((√3-1/2)(√3+1/2)

x² -(2√3)/2 + ( 9-1)/4

x²- √3 x +1/2