Find the standard form of the equation of the hyperbola satisfying the given conditions: X intercept +/- 6; foci at (-10,0) and (10,0) The equation in standard form?

Step-by-step explanation:

Given an hyperbola with the following conditions:

Foci at (-10,0) and (10,0) x-intercept +/- 6;

The following holds:

The center is midway between the foci, so the center must be at (h, k) = (0, 0).The foci are 10 units to either side of the center, so c = 10 and The center lies on the origin, so the two x-intercepts must then also be the hyperbola's vertices.

Since the intercepts are 6 units to either side of the center, then a = 6 and

Therefore, substituting and into the standard form

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