Multiply each polynomial 1.). (x+5)(x+4) 2.). (x-7)(x-4)
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We know that:
is an equation of a circle.
When we substitute x and y (from the pairs we have), we'll get a system of equations:
and all we have to do is solve it for a, b and r.
There will be:
From equations (II) and (III) we have:
and from (I) and (II):
Now we can easly calculate a and b:
Finally we calculate
:
And the equation of the circle is:
is an equation of a circle.
When we substitute x and y (from the pairs we have), we'll get a system of equations:
and all we have to do is solve it for a, b and r.
There will be:
From equations (II) and (III) we have:
and from (I) and (II):
Now we can easly calculate a and b:
Finally we calculate
And the equation of the circle is: