Question

How do you factor and solve `x^2+4x-3=0`?

Answer 1

It doesn't factorise but it can still be solved, for example : By completing the square.

Explanation:

So let's complete the square.

`therefore` `x^2+4x-3 = (x+2)^2-4-3=0`
`therefore (x+2)^2-7=0`

Now lets solve:

`(x+2)^2-7=0`
`(x+2)^2=7`
`x+2=+-sqrt(7)`
`x=-2+-sqrt(7)`

Therefore X has been solved

`x=-2+sqrt(7)` or `x=-2-sqrt(7)`