Will the graph of the equation above intersect the x-axis in zero, one, or two points?

Option D

Step-by-step explanation:

Add 4x² to both sides  of the equation:

The Quadratic formula is:

You can identify that in this case:

Substitute into the Quadratic formula:

Therefore, the graph of the equation above intersect the x-axis in two points.

The answer is:

D. The parabola intercepts the x-axis in two points.

To find the parabola intercepts, we need to use the quadratic formula. The parabola intercepts with the x-axis, are also called roots or zeroes.

The quadratic formula states that:

We are given the parabola:

Which is also equal to:

Where,

Then, substituting into the quadratic formula to find the roots of the parabola, we have:

Hence,the parabola intercepts the x-axis in two points.

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