Question 18701
Well, you first have to simplify the {{{(x-2)^2}}}
To do that, you can either use FOIL or {{{a^2+2ab+b^2}}}
I personally like to use the formula because it is much faster.
After simplifying you should get:
{{{x^2-4x+4+x^2=10}}}
Add like terms
{{{2x^2-4x+4=10}}}
{{{2x^2-4x-6=0}}}
To solve
I would simplify it first
{{{x^2-2x-3=0}}}
You can factor or use the quadratic formula {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
I will factor because it is faster.
{{{(x-3)(x+1)=0}}}
X=3 or -1
Hope this helps!