SOLUTION: ) Find all real/complex solutions for x using the Quadratic formula, and simplify the results: x^2 + 2x + 3 = 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: ) Find all real/complex solutions for x using the Quadratic formula, and simplify the results: x^2 + 2x + 3 = 0      Log On


   

Question 4458: ) Find all real/complex solutions for x using the Quadratic formula, and simplify the results:

x^2 + 2x + 3 = 0
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Using the quadratic formula:
x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282a%29
Substitute the given values of a, b, and c.
x=%28-2%2B-sqrt%282%5E2-4%2A1%2A3%29%29%2F%282%2A1%29
x=%28-2%2B-sqrt%284-12%29%29%2F%282%29
x=%28-2%2B-sqrt%28-8%29%29%2F%282%29
x=-1%2B-2sqrt%28-2%29%2F%282%29
x=-1%2B-sqrt%282%29i
The roots are:
x=-1%2Bsqrt%282%29i or x=-1-sqrt%282%29i