The roots, zeros, or solutions (they all means same thing) of an equation are when you graph that equation, x-intercepts are the real roots, zeros, or solutions.
Or set the y equal to zero which does the same job.
<span>x^(10*[ 3/5 ] ) = x^6</span><span>
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X=-1/8y^2
If the Vertex is at the origin: V=(h,k)=(0,0)→h=0, k=0
y^2=4px
(-8)(x=-1/8y^2)
-8x=y^2
y^2=-8x
4p=-8
Solving for p:
4p/4=-8/4
p=-2<0 (negative)→The parabola opens to the left
Focus: F=(p,0)→F=(-2,0)
Drectrix: x=-p=-(-2)→Directrix: x=2
Answers:
Focus=(-2,0)
Directrix: x=2