Question

Question 2 of 10

Which of the following are solutions to the equation below?
Check all that apply.

Answer 1

f)
`x=-3+2√(5)`

b)
`x=-3-2√(5)`

Explanation:

`x^2+6x+9=20`

`x^2+6x+9-20=0`

`x^2+6x-11=0`

a = 1 (there is an invisible 1 in front of
`x^2`)

b = 6

c = -11

`x=(-b±√(b^2-4ac) )/(2a)`

`x=(-6±√(6^2-4*1*(-11)) )/(2*1)`

`x=(-6±√(36-4*(-11)) )/(2)`

`x=(-6±√(36+44) )/(2)`

`x=(-6±√(80) )/(2)`
`x=(-6±4√(5))/(2)`

`x=(-6+4√(5))/(2)`

`x=(-6-4√(5))/(2)`

`x=-3+2√(5)`

`x=-3-2√(5)`

`x=-3+2√(5)`

`x=-3-2√(5)`

Hope this helps!