Question 79106
Solve for w:
{{{sqrt(5w-1) = w-3}}} Square both sides.
{{{5w-1 = w^2-6w+9}}} Subtract 5w from both sides.
{{{-1 = w^2-11w+9}}} Add 1 to both sides.
{{{0 = w^2-11w+10}}} Factor this quadratic equation.
{{{0 = (w-1)(w-10)}}} Apply the zero products principle:
{{{w-1 = 0}}} or {{{w-10 = 0}}} so...
{{{w = 1}}} or {{{w = 10}}}