Question

I need help asap please

Answer 1

`x = -(3)/(2)` or
`x = 1`

Explanation:

Using the zero product property, first step is to set the given equation,
`2x^2 + x - 1 = 2` , to zero. Then factorise the left side.

Thus,

`2x^2 + x - 1 = 2`

Subtract 2 from both sides

`2x^2 + x - 1 - 2 = 2 - 2`

`2x^2 + x - 3 = 0`

Factorise the left side

`2x^2 + 3x - 2x - 3 = 0`

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

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

Find the solution

`x - 1 = 0`

Or

`2x + 3 = 0`

`x = 1`

Or

`2x + 3 = 0`

`2x = -3`

`x = -(3)/(2)`

The answer is:
`x = 1` or
`x = -(3)/(2)`