Question 144287
Solve for x?
{{{x^2-10x-1 = -10}}} Add 10 to both sides of the equation.
{{{x^2-10+9 = 0}}} Factor the quadratic equation.
{{{(x-1)(x-9) = 0}}} Apply the zero product rule.
{{{x-1 = 0}}} or {{{x-9 = 0}}}
If {{{x-1 = 0}}} then {{{x = 1}}}
If {{{x-9 = 0}}} then {{{x = 9}}}
The solutions are:
{{{x = 1}}}
{{{x = 9}}}