Question 1182152
<pre><font size = 3 color = "indigo"><b>

{{{x^2-10x+10=0}}}

Isolate the variable terms by
adding -10 to both sides:

{{{x^2-10x=-10}}}

To the side, multiply the coefficient of x by {{{1/2}}}.
                      {{{(-10)(1/2)=-5}}}

Now square {{{-5}}}.  {{{(-5)^2=25}}}

Add {{{25}}} to both sides of this: {{{x^2-10x=-10}}}

{{{x^2-10x+25=-10+25}}}

Combine the right side: {{{-10+25=15}}}

{{{x^2-10x+25=15}}}

Factor the left side:

{{{(x-5)(x-5)=15}}}

Write the left side as the square of
a binomial:

{{{(x-5)^2=15}}}

Take the square root of both sides,
remembering the ± on the right:

{{{sqrt((x-5)^2) = "" +-sqrt(15)}}}

{{{x-5}}}={{{"" +- sqrt(15)}}}

Add 5 to both sides:

{{{x=5 +- sqrt(15)}}}

Edwin</pre>