How do you determine the distance between two points?

The distance between two points in a coordinate system can be calculated using the distance formula, which is derived from the Pythagorean theorem. If you have two points, represented as (x1, y1) and (x2, y2), the distance (d) between these points is calculated as follows: Distance Formula: d = √((x2 – x1)2 + (y2 – … Read more

What are the solutions to the equation 9x^4 + 2x^2 + 7 = 0, and how can u substitution be used to solve it?

To solve the polynomial equation 9×4 + 2×2 + 7 = 0, we will employ the method of u-substitution. This approach simplifies the equation by reducing its degree. Step 1: Perform u-substitution Let u = x2. Therefore, we can rewrite x4 as (x2)2 = u2. Substituting these values into the original equation gives us: 9u2 … Read more