Question 770677
x - 5/2 = 7/2 + 1/2x
LCD = 2x
2x^2 - 5x = 7x + 1
2x^2 - 5x - 7x - 1 = 0
2x^2 - 12x - 1 = 0
a = 2, b = -12, c = -1
{{{x = 7 +-sqrt(-12^2-4*2*-1))/(2*2)}}}
{{{x = 7 =-sqrt(144 + 8))/4}}}
{{{x = 7+-sqrt(152))/4}}}
x = 7 +- 12.33/4
x = 7 +- 3.08
x = 10.08 and 3.92
Hope this helps.
:-)