Question 60934
Solve:
{{{sqrt(7s+1)-2sqrt(s) = 2}}} Add {{{2sqrt(s)}}} to both sides.
{{{sqrt(7s+1) = 2sqrt(s)+2}}} Square both sides.
{{{7s+1 = 4s+8sqrt(s)+4}}} Subtract 4s from both sides.
{{{3s+1 = 8sqrt(s)+4}}} Subtract 4 from both sides.
{{{3s-3 = 8sqrt(s)}}} Square both sides.
{{{9s^2-18s+9 = 64s}}} Subtract 64s from both sides.
{{{9s^2-82s+9 = 0}}} Solve using the quadratic formula: {{{s = (-b+-sqrt(b^2-4ac))/2a}}}
{{{s = (-(-82)+-sqrt((-82)^2-4(9)(9)))/2(9)}}}
{{{s = (82+-sqrt(6742-324))/18}}}
{{{s = (82+-sqrt(6400))/18}}}
{{{s = (82+-80)/18}}}
{{{s = (82+80)/18}}} = {{{162/19 = 9}}}
{{{s = (82-80)/18}}} = {{{2/18 = 1/9}}}