Question 210091
Solve:
{{{x-sqrt(2x+1) = 7}}} First, subtract x from both sides.
{{{-sqrt(2x+1) = -x+7}}} Square both sides.
{{{2x+1 = x^2-14x+49}}} Subtract 2x from both sides.
{{{1 = x^2-16x+49}}} Subtract 1 from both sides.
{{{x^2-16x+48 = 0}}} Factor.
{{{(x-12)(x-4) = 0}}} Apply the zero product rule.
{{{x-12 = 0}}} or {{{x-4 = 0}}} so...
{{{highlight(x = 12)}}} or {{{highlight(x = 4)}}}