What is the center and radius of the circle defined by x² + y² -4x + 8y = 7?
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Step-by-step explanation:
x² + y² - 4x + 8y = 7
x² - 4x+ y² + 8y = 7
x² - 2(2y) + 2² + y² + 2(4y) + 4² = 7 + 2² + 4²
(x-2)² + (y+4)² = 7+4+16
(x-2)²+(y+4)² = 27
(x-2)²+(y+4)²=(3√3)²
Hence center is (2,-4) and radius is 3√3
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x²+1y³-4x+8y =7
x²+9y³-4x= 7
ײ+9y³-4x= 7
ײ+9y³-4×=7
ײ+y³-×=7/4
ײ-×+y³=7/4
×+y³=7/4
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