Question 176284
Solve:
{{{sqrt(2w+15) = w}}} Is this correct? It would be helpful if you were to use parentheses in you problem statement thus: sqrt of (2w+15) = 15, otherwise, it could be interpreted as: sqrt of 2w + 15 = w --->{{{sqrt(2w)+15 = w}}}
{{{sqrt(2w+15) = w}}} Square both sides.
{{{2w+15 = w^2}}} Rewrite this as:
{{{w^2-2w-15 = 0}}} Solve by factoring.
{{{(w+3)(w-5) = 0}}} Apply the zero product rule.
{{{w+3 = 0}}} or {{{w-5 = 0}}} so that...
{{{highlight(w = -3)}}} or {{{highlight(w = 5)}}}