Question

The solutions to the equations 2x^2 +x-1=2 are x=-3/2 or

Answer 1

The solutions are:
x = (-3/2) or x = 1

Answer 2

x= 1 , x= -3/2

Explanation:

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

To solve for x we need to get 0 on the right side

Subtract 2 from both sides

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

Now apply quadratic formula

`x=(-b+-√(b^2-4ac))/(2a)`

The value of a= 2, b= 1 and c= -3

Plug in the values in the formula

`x=(-1+-√(1^2-4(2)(-3)))/(2(2))`

`x=(-1+-√(25))/(2(2))`

`x=(-1+-5)/(4)`

`x=(-1+5)/(4)=1`

`x=(-1-5)/(4)=(-3)/(2)`