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( with solution )
Activity 2: Write the following equations of a circle to center-radius form.
1. x2 - 6x + y2 + 8y + 5 = 0
2. x2 + y2 + 6x - 8y + 5 = 0
3. x2 + y2 - 4x + 2y + 4 = 0
4. x2 + y2 + 2x - 6y = - 14
5. x2 + y2 + 3x + 5y + 9/4 = 0
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Sagot :

[tex]x² - 6x + y2 + 8y + 5 = 0 \\ [/tex]

[tex](x²-6x) + (y²+8y)= -5 \\ - 6 \div 2 = - 3 \\ 8 \div 2 = 4 \\ (-3)²= 9 (4)²= 16

(x²-6x+9) + (y²+8y+16) = -5+16+9

(x-3)²+(y+4)²= 20

C= (3, -4)

r= √20

thus, the standard form is

(x-3)²+(y-(-4))²= √20²

or

(x-3)²+(y+4)²= 20[/tex]