Find all points on the x-axis that are 14 units from the point (4, -7). (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)

The points are: (16.12,0),(-8.12,0).

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

.

This polynomial has roots such that , given by the following formulas:

Distance between two points:

Suppose we have two points, and . The distance between them is given by:

Find all points on the x-axis that are 14 units from the point (4, -7).

Being on the x-axis mean that they have y-coordinate equal to 0, so the point is (x,0).

The distance is 14. So

So

The points are: (16.12,0),(-8.12,0).

b

step-by-step explanation:

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