PLEASE HELP!!! Write a quadratic equation if its roots are:

Question

4 years ago

10

rmula1" title="\sqrt{3} -1/2" alt="\sqrt{3} -1/2" align="absmiddle" class="latex-formula"> and $\sqrt{3} +1/2$

1 answer:

AleksandrR [38] · Answer 1 · 2021-12-31T10:57:53+03:00

5 0

Answer:

x²- √3 x +1/2

Step-by-step 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