Question

How do you factor and solve `2x^2 + x - 1=0`?

Answer 1

`x=1/2` or `x=-1`

Explanation:

`2x^2+x-1=0`

Factorise.

`2x^2+2x-x-1=0`

`2x(x+1)-1(x+1)=0`

`(2x-1)(x+1)=0`

`2x-1=0` or `x+1=0`

`x=1/2` or `x=-1`