Question

Find the roots of this equation:

x^2 +xsqrt6 - 12 = 0

please show all working.

Answer 1

the quadratic formula would give us:

\[x=\frac{1}{2}(-\sqrt{6}\pm\sqrt{6-4(-12)}\ )\]

if its doable that is

Answer 2

the graph and roots look like this:

http://www.wolframalpha.com/input/?i=x^2%2Bx+sqrt%286%29-12