Question #7aed4

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Answer 1 · 2017-10-09T01:34:38

#x=6.9162280580253,\qquad x=-8.9162280580253#

This quadratic equation isn't able to be factored, so we can solve by using the quadratic formula:

#x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}#

In this case:

#a=3#

#b=6#

#c=-185#

Plugging in yields:

#x=\frac{-6\pm\sqrt{6^2-4(3)(-185)}}{2(3)}#

#x=\frac{-6\pm\sqrt{36+2220}}{6}#

#x=\frac{-6\pm\sqrt{2256}}{6}#

#x=\frac{-6\pm 4\sqrt{141}}{6}#

#x=\frac{6}{-6}\pm\frac{4\sqrt{141}}{6}#

#x=-1\pm\frac{2\sqrt{141}}{3}#

#x=6.9162280580253,\qquad x=-8.9162280580253#