Question

Which graph correctly solves the equation below?
-x² – 1 = 2x^2 – 4

Answer 1

Answer: Hope this helps. I didn't see any graphs posted on your question.

Explanation:

y = -x²-1

y = 2x²-4

Edit: posted wrong screenshot :/

here is the actual one lol

Answer 2

The correct graph is graph B, which shows that the equation has two roots at approximately x = -1.414 and x =1.414.

The equation provided is: -x² – 1 = 2x^2 – 4.

To solve this equation, we need to rearrange it into quadratic form by moving all terms to one side and setting it equal to zero:

3x² - 3 = 0.

Now, we need to solve for x using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 3, b = 0, and c = -3:

x = (0 ± √(0² - 4(3)(-3))) / (2(3))

x = ± √(36 / 18) = ± √2

So, the correct graph is graph B, which shows that the equation has two roots at approximately x = -1.414 and x =1.414.