Answer:
x = -2 or x = 1
Step-by-step explanation:
The quadratic formula for the quadratic equation ax² + bx + c = 0:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]2x^2+2x-4=0\qquad\text{divide both sides by 2}\\\\x^2+x-2=0[/tex]
[tex]a=1,\ b=1,\ c=-2[/tex]
Substitute:
[tex]x=\dfrac{-1\pm\sqrt{1^2-4(1)(-2)}}{2(1)}=\dfrac{-1\pm\sqrt{9}}{2}=\dfrac{-1\pm3}{2}\\\\x_1=\dfrac{-1-3}{2}=\dfrac{-4}{2}=-2\\\\x_2=\dfrac{-1+3}{2}=\dfrac{2}{2}=1[/tex]
