## anonymous 5 years ago Find all solutions of the equation 3x^2 + 3x +10 = 0 and express them in the form a + bi with a,b real numbers.

1. anonymous

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

2. anonymous

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

3. anonymous

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

4. anonymous

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.

5. anonymous

Thats what I was trying to type out! Thanks!

6. anonymous

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