SOLUTION: please help me to solve this quadratic equation:
Give the propeties for the equation x^2+y^2+8x-2y+15=0, center:
here are the possible answers:
a)(4,1)
b)(-4,1)
c)(-8,2)
Algebra.Com
Question 244126: please help me to solve this quadratic equation:
Give the propeties for the equation x^2+y^2+8x-2y+15=0, center:
here are the possible answers:
a)(4,1)
b)(-4,1)
c)(-8,2)
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x^2+y^2+8x-2y+15=0
(x^2+8x+16) + (y^2-2y+1) + 15 = 17
(x+4)^2 + (y-1)^2 = 2
Center is (-4,1)
radius is sqrt(2)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You need to complete the square on both 
and 
, then factor the perfect squares.
First, move the constant to the RHS:
Rearrange:
Divide the coefficient on the -term by 2, then square the result. Add this result to both sides of the equation.
Do the same thing for the -term:
Factor 
and 
and then replace these two trinomials in your equation with the squared binomial representation.
You can then determine the center by inspection since a circle centered at )
with radius 
is defined by:
^2 + (y - k)^2 = r^2)
Pay careful attention to the signs on your center coordinates.
John
RELATED QUESTIONS
please help me solve this quadratic equations:
Find the center of the following equation (answered by stanbon)
Please help me solve this equation.. Find the roots of quadratic... (answered by ankor@dixie-net.com)
Please help me solve this equation: {{{ x^2-8x+15=0 }}}.
Please help me solve this... (answered by josmiceli,Earlsdon)
I am helping my son with his homework and i need answers to problems to confirm they are... (answered by stanbon)
Please help me solve this quadratic equation:... (answered by mathie123)
Please help me solve this equation: -16x+2y=-2, y=8x-1
(answered by MathLover1)
Solve the quadratic equation by completing the square:
x^2 - 6x - 3 = 0
Can someone (answered by Nate)
Please help me solve this equation:... (answered by Alan3354)
Please help me to solve this equation:
Use the Quadratic Formula to solve the equation.
(answered by mananth)