anonymous 4 years ago What are the solutions of the equation? c^2-10c=0 A. 1, -√10 B. 0, –10 C. 0, √10 D. 0, 10 A, B, C, or D? Please explain :)

1. jim_thompson5910

c^2-10c=0 c(c-10) = 0 See where to go next?

2. anonymous

No, I do not.

3. jim_thompson5910

c(c-10) = 0 breaks up to c = 0 or c-10 = 0

4. jim_thompson5910

then what

5. anonymous

I don't know. I'm not good at algebra.

6. jim_thompson5910

solve c-10 = 0 for c

7. anonymous

I don't know how.

8. jim_thompson5910

something - 10 = 0

9. jim_thompson5910

what number goes in the place of "something"

10. anonymous

Important step: If $a\cdot b=0$Then at least one of $$a, b$$ must be zero.

11. anonymous

10 - 10 = 0 @jim_thompson5910

12. jim_thompson5910

so c-10 = 0 means that c = 10

13. jim_thompson5910

so c = 0 or c = 10

14. anonymous

15. jim_thompson5910

yes

16. anonymous

Ah, okay thank you :)