Question

What are the solutions of the equation6x^2-x-1=0

Answer 1

`x_(1) =-(1)/(3) \\x_(2) =(1)/(2)`

Explanation:

`6x^(2) -x-1=0`

Factoring the equation:

`(3x+1)(2x-1)=0`

Extract the roots:

First factor

`3x+1=0\\3x=-1\\x_(1) =-(1)/(3)`

Second factor

`2x-1=0\\2x=1\\x_(2) =(1)/(2)`

Hope this helps

Answer 2

1/2

1/3

Explanation:

x=1/2

x=-1/3