We have that
x² + 8x + y²<span> - 16y = 0
</span>Group terms that contain the same variable<span>
(x</span>²+8x)+(y²-16y)=0
Complete the square twice. Remember to balance the equation by adding the same constants to each side
(x²+8x+16)+(y²-16y+64)=16+64
circle with a center (-4,8) and radius √80 units
<span>
and
x</span>² + 8x + y² - 8y = 32
Group terms that contain the same variable
(x² + 8x) + (y² - 8y) = 32
Complete the square twice. Remember to balance the equation by adding the same constants to each side
(x² + 8x+16) + (y² - 8y+16) = 32+16+16
circle with a center (-4,4) and radius 8 units
using a graph tool
see the attached figure
the solution are the points
(-12,4) and (4,4)
x² + 8x + y²<span> - 16y = 0
</span>Group terms that contain the same variable<span>
(x</span>²+8x)+(y²-16y)=0
Complete the square twice. Remember to balance the equation by adding the same constants to each side
(x²+8x+16)+(y²-16y+64)=16+64
Rewrite as perfect squares
(x+4)²+(y-8)²=80circle with a center (-4,8) and radius √80 units
<span>
and
x</span>² + 8x + y² - 8y = 32
Group terms that contain the same variable
(x² + 8x) + (y² - 8y) = 32
Complete the square twice. Remember to balance the equation by adding the same constants to each side
(x² + 8x+16) + (y² - 8y+16) = 32+16+16
<span>Rewrite as perfect squares</span>
(x+4)² + (y-4)² =64circle with a center (-4,4) and radius 8 units
using a graph tool
see the attached figure
the solution are the points
(-12,4) and (4,4)