Question

Solve by completing the square
x^2 +5/2 x=5

What is the solution?
x=

Answer 1

\[x^2 +\frac{5}{2} x=5\]

Answer 2

\[x^2 + 5/2x + 25/16 = 5 + 25/16\]
\[(x + 5/4) ^2 = 105/ 16\]
\[x+ 5/4 = \pm \sqrt{105}/4\]
\[x = (\pm \sqrt{105} - 5) / 4\]