Question

Which system of equations can be used to find the roots of the equation 4x2x2+2x?

Answer 1

`x=0` and
`2x+1=0`

Explanation:

We are given that an equation

`4x^2+2x`

We have to find the system of equation which can be used to find the roots of the given equation.

`2x* 2x+2x`

Taking 2 x common then we get

`2x(2x+1)`

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

`2x=0` and
`2x+1=0`

`x=0` and
`2x+1=0`

`2x=-1`

`x=-(1)/(2)`

Hence, the system of equations which can be used to find the roots of the equation is given by

`x=0` and
`2x+1=0`