Question 86698
Solve for x:
{{{10 + sqrt(x+8) = x}}} Isolate the square root by subtracting 10 from both sides of the equation.
{{{sqrt(x+8) = x-10}}} Now square both sides.
{{{x+8 = x^2-20x+100}}} Subtract x from both sides.
{{{8 = x^2-21x+100}}} Subtract 8 from both sides.
{{{x^2-21x+92 = 0}}} Solve by the quadratic formula:{{{x = (-b+-sqrt(b^2-4ac))/2a}}}
{{{x = (-(-21)+-sqrt((-21)^2-4(1)(92)))/2(1)}}} Simplify.
{{{x = (21+-sqrt(441-368))/2}}}
{{{x = (21+-sqrt(73))/2}}}