Question

How do you solve the quadratic equation by completing the square: `x^2+10x-2=0`?

Answer 1

`x=-5+-3sqrt(3)`

Explanation:

Tranform the equation to this form
`x^2+10-2=(x+5)^2-27=0`

Then rearrange to make `x` the subject:
`x+5=+-sqrt(27)=+-3sqrt(3)`

=>

`x=-5+-3sqrt(3)`