Xy=10
x+y=29
subtract x from both sides for second equation
y=-x-29
subsitute in second equaiton
x(-x-29)=10
-x^2-29x=10
add x^2+29x to both sides
x^2+29x+10=0
quadratic formula
if you have
ax^2+bx+c=0,
x=
so
x^2+29x+10=0
a=1
b=29
c=10
x=
x=
x=
x=
x=
or
those are the 2 numbers
aprox=-28.65 and -0.349
So the vertex, exactly between the focus and directrix, must be at <span>(h, k) = (1,
–2)</span><span>.</span>