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

Answer:

x= 1  , x= -3/2

Step-by-step 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

$x=\frac{-b+-\sqrt{b^2-4ac}}{2a}$

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

Plug in the values in the formula

$x=\frac{-1+-\sqrt{1^2-4(2)(-3)}}{2(2)}$

$x=\frac{-1+-\sqrt{25}}{2(2)}$

$x=\frac{-1+-5}{4}$

$x=\frac{-1+5}{4}=1$

$x=\frac{-1-5}{4}=\frac{-3}{2}$