Question

How do you solve by completing the square: `x^2 + 6x - 5 = 0`?

Answer 1

`x=-3+sqrt14orx=-3-sqrt14`

Explanation:

`x^2+6x-5=0`
`rArrx^2+6x+color(red)(9-14)=0`
`rArr(x^2+6x+9)=14`
`rArrcolor(blue)((x+3)^2=(sqrt14)^2)`
`rArrx+3=+-sqrt14`
`rArrx+3=sqrt14orx+3=-sqrt14`
`rArrx=-3+sqrt14orx=-3-sqrt14`