Question

How do you solve `-6- 4k ^ { 2} = - 51`?

Answer 1

`k=+-(3sqrt5)/2`

Explanation:

`"isolate "k^2" by adding 6 to both sides and dividing by "-4`

`rArr-4k^2=-51+6=-45`

`rArrk^2=(-45)/(-4)=45/4`

`color(blue)"take the square root of both sides"`

`sqrt(k^2)=+-sqrt(45/4)larrcolor(blue)"note plus or minus"`

`rArrk=+-(3sqrt5)/2`