Question 385025
Solve for x???
{{{sqrt(x-1)+x = 7}}} Subtract x from both sides.
{{{sqrt(x-1) = 7-x}}} Square both sides.
{{{x-1 = 49-14x+x^2}}} Add 1 to both sides.
{{{x = 50-14x+x^2}}} Subtract x from both sides.
{{{0 = 50-15x+x^2}}} Rearrange into standard form.
{{{x^2-15x+50 = 0}}} Factor.
{{{(x-10)(x-5) = 0}}} Apply the zero product rule.
{{{x-10 = 0}}} or {{{x-5 = 0}}} so...
{{{x = 10}}} or {{{x = 5}}}