Question 1078497


---( reworked)---


Starting from the given function,
{{{f(x)=2(x^2-4x)-7}}}
{{{2(x^2-4x+4-4)-7}}}
{{{2((x-2)^2-4)-7}}}
{{{2(x-2)^2-8-7}}}
{{{highlight(f(x)=2(x-2)^2-15)}}}



ROOTS
{{{2(x-2)^2-15=0}}}
{{{2(x-2)^2=15}}}
{{{(x-2)^2=15/2}}}
{{{x-2=0+- sqrt(15/2)}}}
{{{x=2+- sqrt(15/2)}}}
{{{highlight(x=2+- sqrt(30)/2)}}}




--------------------------------------------------
{{{a(x^2-2hx+h^2)+k}}}
{{{cross(ax^2-2ahx+h^2+k)}}}
{{{ax^2-2ahx+ah^2+k}}}
-

{{{system(a=2,-8=-2ah,-7=ah^2+k)}}}