anonymous
  • anonymous
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 :)
Mathematics
katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
c^2-10c=0 c(c-10) = 0 See where to go next?
anonymous
  • anonymous
No, I do not.
jim_thompson5910
  • jim_thompson5910
c(c-10) = 0 breaks up to c = 0 or c-10 = 0

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jim_thompson5910
  • jim_thompson5910
then what
anonymous
  • anonymous
I don't know. I'm not good at algebra.
jim_thompson5910
  • jim_thompson5910
solve c-10 = 0 for c
anonymous
  • anonymous
I don't know how.
jim_thompson5910
  • jim_thompson5910
something - 10 = 0
jim_thompson5910
  • jim_thompson5910
what number goes in the place of "something"
anonymous
  • anonymous
Important step: If \[ a\cdot b=0 \]Then at least one of \(a, b\) must be zero.
anonymous
  • anonymous
10 - 10 = 0 @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
so c-10 = 0 means that c = 10
jim_thompson5910
  • jim_thompson5910
so c = 0 or c = 10
anonymous
  • anonymous
So the answer is D?
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • anonymous
Ah, okay thank you :)

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