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what is the value of b x^2+y^2+ax+by+c=0

Mathematics
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the value of \(b\) for what?
for that equation, \[x ^{2}+y ^{2^{}}+ax+by+c=0\]

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Other answers:

r u sure the question is exactly that? it kind of doesn't make sense
this graph is part of the question
u also need to find the values of a, b, and c so that the equation describes the circle of the figure. complete both squares. u know the center and the radius of the circle (see the graph)
that doesnt help me
but thanks
do u know how to complete the square?
no
ok i will do it. first the center is C(-2,1) and r=3, do u agree?
yes
I got that far.
ok know, the equation of a circle should be \[\large (x-h)^2+(y-k)^2=r^2 \] we have to make the equation \[\large x^2+y^2ax+by+c=0 \] to resemble this. OK?
\[\large x^2+y^2+ax+by+c=0 \]
(x+2)^2+(y-1)^2=3^2
we know that h=-2, k=1, and r=3, agree?
yes. expand that!
can u do it?
(x+2)+(x+2)+(y-1)+(y-1)=9?
I'm so confuseddd.
no \[\large (x+2)^2+(y-1)^2=3^2 \] \[\large (x^2+4x+4)+(y^2-2x+1)=9 \] \[\large x^2+y^2+4x-2y+5=9 \] \[\large x^2+y^2+4x-2y-4=0 \]
got it?
so b is 4?
no, b is the coefficient of \(y\)
oh -2?
yes
can you help me with this one?
same question?
have to find a now. so the center is (-1,3) and radius is 4 right?
(x+1)+(y-3)=16?
correction number one, the centre of circle is (1,-2) not (-2,1). so, h = 1 and k = -2 now remember the equation of circle is x^2 + y^2 +ax + by + c = 0 or (x - h)^2 + (y -k)^2 = 0 h,k is the centre of circle. the relation of b and k is b = -1/2(k) so, b = -1/2(-2) = 1
YES. I am so sorry, my mistake.
oh boy. okay.
in the second case the center is (3,-1) and r=4
correction again, im not a boy, but a father of that boy ;p
does A have a certain formula that can be used to find it?
dont learn formulas, learn concepts. do what i did before: expand \[\large (x-3)^2+(y+1)^2=4^2 \] it should take a minute
Welcome To Openstudy
a = -1/2 * h
so (x^2-6x+9)+(y^2+2x+1)=16?
so a would be = -3 1/2
a=-6, that is what u got.
It should be (x^2-6x+9)+(y^2+2y+1)=16 (you had 2x, it should be 2y). In bx^2+y^2+ax+by+c=0, a is the coefficient of x. The coefficient of x in the equation you got is -6 So a = -6.

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