## smarty 3 years ago Describe the nature of the roots of the equation 2x^2 + 3x = –3.

1. Nancy_Lam

$\frac{-b \pm \sqrt{b^2-4ac}}{2a}$ a=2 b=3 c=3 subtitution and solve

2. sritama

imaginary numbers

3. smarty

one real root two real roots two imaginary roots cannot be determined

4. smarty

So C? two imaginary roots?

5. smarty

@Nancy_Lam

6. sritama

yeah

7. smarty

Thanks~

8. smarty

what about: 7x^2 = 4x + 1.

9. smarty

@sritama

10. Nancy_Lam

two imaginary roots

11. smarty

How can you tell?

12. smarty

For ex: x^2 – 4x + 4 = 0. how would you tell for that one?

13. sritama

for the 2nd equation it is b

14. sritama

7x^2 = 4x + 1 , i mean

15. smarty

haha alright what about : x^2 – 4x + 4 = 0

16. sritama

two real roots,and they are same

17. Nancy_Lam

x^2 – 4x + 4 = 0 (x-2)^2

18. sritama

all you have to get from the value of $\sqrt{b^2-4ac}$

19. smarty

Ohok. thanks!

20. smarty

So the root of hte discriminant.

21. sritama

if the value is negatives, roots are imaginary if positive . roots are real if 0,roots are real and same

22. sritama

yeah