ook now this one find the radius of the circle defined by the equation x^+y^2-10x+4y+4=0
i found it i got a different one
Complete the square to first get the equation of the circle. x^2+y^2-10x+4y+4=0 (You forgot a power 2 somewhere there) (x-5)^2 - 5^2 + (y+2)^2 -2^2 + 4 = 0 (x-5)^2 + (y+2)^2 = 25-4 + 4 (x-5)^2 + (y+2)^2 = 25 Centre is thus (5,-2) and the radius, which you have already found, should be sqrt (25) = 5 units
\[x ^{2}-10x+y ^{2}+4y+4=0\] \[x ^{2}-10x+25+y ^{2}+4y+4=25\] \[(x-5)^{2}+(y+2)^{2}=25\]
ook now this one find the radius of the circle defined by the equation 3x^2+3y^2+42x+42y+186=0
divide 3 on both sides firstly
um hw
\[(3x ^{2}+3y^{2}+42x+42y+186)/3=0/3\]
\[x^{2}+y^{2}+14x+14y+62=0\]
ok now tell me what to do
\[(x+a)^2+(x+b)^2=c\] a,b,c\[a,b,c \in R\]
um whats a b c
for (x−5)^2+(y+2)^2=25 a=-5,b=2,c=25
um-337? idk this is hard
what is your a ,b and c values?
idk -5 2 25
\[r=\sqrt{c}\]
so is it 5 sooooooo is it 5
yes
can you solve the 3x^2+3y^2+42x+42y+186=0 on you own now ?Plz have a try
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