Question 34577
Solve for x: Your first step is correct.
{{{x = 3/(x+1)}}} Multiply both sides by (x+1)
{{{x(x+1) = 3}}} Simplify...here's where you erred!
{{{x^2 + x = 3}}} Subtract 3 from both sides.
{{{x^2 + x - 3 = 0}}} Solve this quadratic equation using the quadratic formula:{{{x=(-b+-sqrt(b^2-4ac))/2a}}}.
{{{x=((-1)+-sqrt(1^2-4(1)(-3)))/2(1)}}}
{{{x=((-1)+-sqrt(13))/2}}}