Answer:
Compare x^2 +y^2-8x-6y=75 with the general circle equation x^2+y^2 -2ax-2by+c=0
-2a =-8 And -2b=-6
a=4 b=3
c=-75
To find the radius use the equation
r^2=a^2+b^2-c
r^2=4^2+ 3^2-(-75)
r^2=25+75=100
r=10(radius is always positive)
Hence the center is (4,3) and radius 10
Step-by-step explanation:
Need more of the question.
Answer: x = {+-sqrt(3), +-2*sqrt(3)}.
Step-by-step explanation:
(x^2 - 8)^2 + (x^2 - 8) = 20
▪︎ Let (x^2 - 8) be y.
Then,
y^2 + y = 20
y^2 + y - 20 = 0
D = b^2 - 4ac = 1 + 20*4 = 81 = 9^2
y1 = (-b - sqrt(D))/(2a) = (-1 - 9)/2 = -10/2 = -5
y2 = (-b + sqrt(D))/(2a) = (-1 + 9)/2 = 8/2 = 4
1) x^2 - 8 = -5
x^2 = 8 - 5
x^2 = 3
x = +-sqrt(3)
2) x^2 - 8 = 4
x^2 = 8 + 4
x^2 = 12
x = +-sqrt(12)
x = +-2*sqrt(3)
Answer:
5. 1/9? 6. -22? 7. -2? 8. -15? 9. -5? 10. 5?
Answer:
87,500,306
Step-by-step explanation:
87 million 500 thousand 306
