Question

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

Answer 1

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

Answer 2

Where the general formula of a quadratic function is \[ax^2+bx+c\]

Answer 3

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

Answer 4

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.

Answer 5

Thats what I was trying to type out! Thanks!

Answer 6

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