## anonymous 3 years ago how do you find out how many solutions there are for x^2+2x+8

1. anonymous

try to solve or use $$b^2-4ac$$ are you allowed complex solutions?

2. anonymous

yeah

3. anonymous

Fundamental theorem of algebra implies that a polynomial of degree n always has n roots, counting repeated roots. So since it's of degree 2, it has 2 roots.

4. anonymous

?

5. anonymous

Since it's a second degree polynomial (highest term is a power of 2, the x^2), it automatically must have 2 solutions.

6. anonymous

oh ok

7. anonymous

the maximum no. of solutions is 2.............

8. anonymous

It has 2 solutions, $x=-1±i\sqrt{7}.$

9. anonymous

it has no real solution........

10. anonymous

thankx