Question

Solve by the factorization method: 2x2 + x - 1 = 0-1/2, 1-1, -1/2-1, 1/21/2, 1

Answer 1

Step-by-step explanation

We must solve by the factorization method the quadratic equation:

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

1) First, we rewrite the equation above as:

`\begin{gathered} 2x^2+2x-x-1=0, \\ 2x(x+1)-(x+1)=0. \end{gathered}`

2) Taking (x + 1) as a common factor, we have:

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

From the last equation, we read the roots:

`\begin{gathered} 2x-1=0\Rightarrow2x=1\Rightarrow x=1/2, \\ x+1=0\Rightarrow x=-1. \end{gathered}`Answer

-1, 1/2