Question

Convert the general form equation of this circle into standard form, and state the center and the radius: x^2 + y^2 - 8x + 5y - 10 = 0

Name: convert the general form equation of this circle into standard form and state the center and the radius x2 y2 8x 5y 10 0 26543
Uploaded: 2022-06-05T08:19:47-08:00
Duration: 1 min 56 s
Channel: Daniel Carr
Description: convert the general form equation of this circle into standard form and state the center and the radius x2 y2 8x 5y 10 0 26543

          Convert the general form equation of this circle into standard
form, and state the center and the radius: x^2 + y^2 - 8x + 5y - 10
= 0

Added by Crystal R.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Daniel Carr

06/05/2022

Step 1

Step 1:** Rearrange the equation by completing the square for both x and y terms: \[x^2 - 8x + y^2 + 5y = 10\] \[x^2 - 8x + 16 + y^2 + 5y + \frac{25}{4} = 10 + 16 + \frac{25}{4}\] \[(x - 4)^2 + (y + \frac{5}{2})^2 = \frac{129}{4}\] ** Show more…

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