We have that
4x² + 6y²<span> = 24
</span><span>divide everything by 24
</span>4x²/24 + 6y/24² = 24/24--------> x²/6 + y²/4 = 1
a²=6------> a=√6
b²=4------> b=2
a>b----------> the major axis is parallel to the x-axis
the center is the point (0,0)
(h,k) is (0,0)
c²=a²-b²
c²=6-4
<span>c=√2 </span>
vertices:
(h-a,k) and (h+a,k)
<span>(0-√6, 0) and (0+√6, 0) </span>
<span>(-√6, 0) and (√6, 0)
</span>Foci:
<span>(h-c, k) and (h+c, k) </span>
<span>(0-√2, 0) and (0+√2, 0) </span>
<span>(-√2, 0) and (√2, 0) </span>
