Find all solutions of the equation 3x^2 + 3x +10 = 0 and express them in the form a + bi with a,b real numbers.

Question

anonymous · Answer

Use the quadratic formula. $$x=-b \pm \sqrt{b^2-4ac}$$          ------------
                     2

anonymous · Answer

Where the general formula of a quadratic function is $$ax^2+bx+c$$

anonymous · Answer

Would -(1/2) + ((square root)(111)*i) / (6)  be an answer?

anonymous · Answer

You have the process almost correct. Should be $$-(1/2)\pm (\sqrt{-111})/6$$ Basically your answer is correct except for the square root. That goes away because of the i. Also remember there is both a positive and negative answer.

anonymous · Answer

Thats what I was trying to type out! Thanks!

anonymous · Answer

No problem. Now you can simplify to $$-(1/2)\pm (i \sqrt{111})/6$$.