How do you complete the square to find the vertex for $y + 6 = x^2 - 5x$ ?

Question

1832 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-07T23:07:56

$y+6 = x^2-5x$

$y = x^2-5x-6$

$y = x^2 -5x + color(blue) (25/4) -6 -color(blue)(25/4)$

$y = (x-5/2)^2-(24+25)/4$

$y = (x-5/2)^2 -49/4$

Vertex: $(5/2, -49/4)$

How do you complete the square to find the vertex for y + 6 = x^2 - 5xy + 6 = x^2 - 5x?