Final answer:
To solve the equation 2x²−4=0, rearrange it to x²-2=0 and use the quadratic formula to find the solutions x = (√8)/2 and x = -(√8)/2, which simplify to x = √2 and x = -√2.
Step-by-step explanation:
To solve the equation 2x²−4=0, we can rearrange it to x²-2=0. Now we can use the quadratic formula, which is x = (-b±√(b²-4ac))/(2a), to find the solutions. In this case, a=1, b=0, and c=-2. Plugging these values into the formula, we get x = (√8)/2 and x = -(√8)/2. Simplifying, we have x = √2 and x = -√2.