Question 91599
Solve for x using the quadratic formula:
{{{3x^2 = 5x+6}}} Subtract 5x+6 from both sides.
{{{3x^2-5x-6 = 0}}} Apply the formula: {{{x = (-b+-sqrt(b^2-4ac))/2a}}}
{{{x = (-(-5)+-sqrt((-5)^2-4(3)(-6)))/2(3)}}}
{{{x = (5+-sqrt(25+72))/6}}}
{{{x = (5+-sqrt(97))/6}}}
The solutions are:
{{{x = (5/6)+sqrt(97)/6}}}
{{{x = (5/6)-sqrt(97)/6}}}