Solve the following quadratic equations by factorisation method:
`2x^(2)-2x+(1)/(2)=0`

Answer

`(1)/(2),(1)/(2)` are the roots of the given quadratic equation. Note : Here, both the roots are the same.

Explanation

`2x^(2)-2x+(1)/(2)=0`
`:.2x^(2)-x-x+(1)/(2)=0" "2xx(1)/(2)=1`
`:.x(2x-1)-(1)/(2)(2x-1)=0" "-1-1`
`:.(2x-1)(x-(1)/(2))=0`
`:.2x-1=0orx-(1)/(2)=0`
`:.2x=1orx=(1)/(2)" ":.=(1)/(2)orx=(1)/(2)`