Question

Select each exact root. If the exact roots cannot be found, select the consecutive integers between which the roots are located. If there are no roots, select no real solution.

x2+6x+6=0

Multiple select question.

A) no real solution

B) between −2 and −1

C) between −5 and −4

D) −5

E) −1

F) between 4 and 5

G) between 1 and 2

Answer 1

C, B

Explanation:

`x^2+6x+6=0 \\ \\ x=(-6 \pm √(6^2-4(6)))/(2(1)) \\ \\ x=-3 \pm √(3) \\ \\ √(3) \approx 1.7 \implies -5<-3-√(3)<-4, -2<-3+√(3)<-1`