Solve the following quadratic equations:
`x^(2)-(3x)/(10)-1/(10)=0`

Answer

`(1)/(2),-(1)/(5)` are the roots of the given quadratic equation.

Explanation

`x^(2)-(3x)/(10)-(1)/(10)=0`
`:.10x^(2)-3x-1=0" "......` (Multiplying by 10)
`:.10x^(2)-5x+2x-1=0`
`:.5x(2x-1)+1(2x-1)=0`
`:.(2x-1)(5x+1)=0`
`:.2x-1=0or5x+1=0`
`:.2x=1or5x+1=0`
`:.x=(1)/(2)orx=-(1)/(5)`,