Reduce the general equation of the circle into standard form x²+y²-8x+2y-16=0

Question

Reduce the general equation of the circle into standard form x²+y²-8x+2y-16=0​

GreatRedSpot · Answer

SOLUTION:x² + y² - 8x + 2y - 16 = 0x² - 8x + y² + 2y = 16(x² - 8x + _) + (y² + 2y + _) = 16(x² - 8x + 16) + (y² + 2y + 1) = 16 + 16 + 1(x - 4)² + (y + 1)² = 33Hence, the standard form of the given general equation of the circle is (x - 4)² + (y + 1)² = 33

Answered by GreatRedSpot | 2024-09-01

Reduce the general equation of the circle into standard form x²+y²-8x+2y-16=0​

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