Answer:
[tex]x=1\ or\ x=-\frac{1}{2}[/tex]
Step-by-step explanation:
To solve the given quadratic equation [tex]2x^2-x-1=0[/tex] you can apply the Quadratic formula, which is shown below:
[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
Where:
[tex]a=2\\b=-1\\c=-1[/tex]
Therefore, when you substitute values into the Quadratic formula shown above, you obtain the following solution:
[tex]x=\frac{-(-1)\±\sqrt{(-1)^2-4(2)(-1)}}{2*2}[/tex]
[tex]x=1\ or\ x=-\frac{1}{2}[/tex]
