Question 24955
Solve:
{{{x + 1/x + x + 4/x = 6}}} Collect like-terms.
{{{2x + 5/x = 6}}} Combine terms on the left side.
{{{(2x^2 + 5)/x = 6}}} Multiply both sides of the equation by x
{{{2x^2 + 5 = 6x}}} Subtract 6x from both sides.
{{{2x^2 - 6x + 5 = 0}}} Solve by quadratic formula:{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}
{{{x=(-(-6)+-sqrt((-6)^2-4(2)(5)))/2(2)}}}
{{{x=(6+-sqrt(36-40))/4}}}
{{{x=(6+-sqrt(-4))/4}}}
{{{x =3/2}}} +or- {{{(1/2)i}}}
or, in decimal form:
x = 1.5 + or - 0.5i