Question 40896
{{{(1/(2x)) + 1/(2x + 2) = 7/24}}}
{{{(1/((2)(x))) + 1/(2(x + 1)) = 7/24}}}
{{{(((2)(x + 1)(x)))/((2)(x)) + ((2)(x + 1)(x))/(2(x + 1)) = ((2)(x + 1)(x))7/24}}}
{{{(x + 1) + (x) = (14x^2 + 14x)/24}}}
{{{24(x + 1) + 24(x) = 24(14x^2 + 14x)/24}}}
{{{24x + 24 + 24x = 14x^2 + 14x}}}
{{{0 = 14x^2 - 34x - 24}}}
{{{0 = 7x^2 - 17x - 12}}}
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{x = (17 +- sqrt( 289+336 ))/(14) }}} 
{{{x = (17 +- 25)/(14) }}} 
{{{x = (17 +- 25)/(14) }}} 
{{{x = 3}}} or {{{x = -4/7}}}
Your answer is: {{{3}}}