Question 173942
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{{{4X^2-4X-99}}}, divide the whole eqn by 4:
{{{cross(4)x^2/cross(4)-cross(4)x/cross(4)-(99/4)}}}
{{{x^2-x-(99/4)}}}
{{{(x^2-x+(1/4))-highlight(1/4)-(99/4)}}}
*Take "half of the middle constant, in this case "1", then squared-->{{{(1/2)^2=1/4}}}. Don't forget to subtract {{{1/4}}} too so the expression does not change.
{{{(x-1/2)^2-(100/4)}}}
{{{highlight((x-1/2)^2-25)}}}
Point: (1/2,-25) VERTEX, as we see the graph:
{{{drawing(400,400,-10,10,-28,30,grid(1),graph(400,400,-10,10,-28,30,x^2-x-(99/4)),circle(1/2,-25,.20))}}}
Thank you,
Jojo</pre>