Answer :
[tex] 25x^2+4y^2+50x-24y-39=0\\
25x^2+50x+25+4y^2-24y+36-100=0\\
(5x+5)^2+(2y-6)^2=100[/tex]
25x² + 4y² + 50x - 24y - 39 = 0
25x² + 50x + 4y² - 24y - 39 = 0
25x² + 50x - 39 = 0 4y² - 24y - 39 = 0
x = -b + √b² - 4ac y = -b + √b² - 4ac
2a 2a
x = -50 + √(-50)² - 4(25)(-39) y = -(-24) + √-(-24)² - 4(4)(-39)
2(25) 2(4)
x = -50 + √2500 + 3900 y = 24 + √-576 + 624
50 8
x = -50 + √6400 y = 24 + √48
50 8
x = -50 + 80 y = 24 + √16 × 3
50 8
x = -50 + 80 y = 24 + √16 √3
50 8
x = -50 + 80 y = 24 + 4 √3
50 8
x = -50 + 80 y = 24 + 4 √3
50 8
x = -50 + 80 x = -50 - 80 y = 24 + 4 √3 y = 24 - 4 √3
50 50 8 8
x = 30 x = -130 y = 28 √3 y = 20 √3
50 50 8 8
x = 3 x = -13 y = 28 √3 y = 20 √3
5 5 8 8
(x, y) = (3, 26 √3) (x, y) = (-13, 20 √3 )
5 8 5 8
25x² + 50x + 4y² - 24y - 39 = 0
25x² + 50x - 39 = 0 4y² - 24y - 39 = 0
x = -b + √b² - 4ac y = -b + √b² - 4ac
2a 2a
x = -50 + √(-50)² - 4(25)(-39) y = -(-24) + √-(-24)² - 4(4)(-39)
2(25) 2(4)
x = -50 + √2500 + 3900 y = 24 + √-576 + 624
50 8
x = -50 + √6400 y = 24 + √48
50 8
x = -50 + 80 y = 24 + √16 × 3
50 8
x = -50 + 80 y = 24 + √16 √3
50 8
x = -50 + 80 y = 24 + 4 √3
50 8
x = -50 + 80 y = 24 + 4 √3
50 8
x = -50 + 80 x = -50 - 80 y = 24 + 4 √3 y = 24 - 4 √3
50 50 8 8
x = 30 x = -130 y = 28 √3 y = 20 √3
50 50 8 8
x = 3 x = -13 y = 28 √3 y = 20 √3
5 5 8 8
(x, y) = (3, 26 √3) (x, y) = (-13, 20 √3 )
5 8 5 8
