SOLUTION: Find the vertex and focus and end points of the latus rectum of the parabola 5x^2-5x+7y-4=0

Question 1018044: Find the vertex and focus and end points of the latus rectum of the parabola 5x^2-5x+7y-4=0
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

, completing the square using ;
which, through a few more steps, will give
as the standard form,
Telling you that the vertex, being a maximum, is at VERTEX: (1/2, 11/28).

The equation in an equivalent form is also .
Comparing to , the value of p is the distance between the FOCUS and the vertex.
-

.

The focus, being below the vertex for this example, will have x=1/2 but

FOCUS: ( 1/2, 3/70 ).

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