anonymous
  • anonymous
Help with algebra!!! Will medal
Algebra
chestercat
  • chestercat
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anonymous
  • anonymous
What are the roots of the equation 5x2 - 5x - 30 = 0?
anonymous
  • anonymous
A. x = -3/5 or 10 B. x = 3/5 or -10 C. x = 2 or 3 D. -2 or 3
kropot72
  • kropot72
The first step is to take out the common factor 5, giving: \[\large x^{2}-x-6=0\]

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kropot72
  • kropot72
Can you factorize that?
anonymous
  • anonymous
5(x^2 - x - 6) = 0 Right?
kropot72
  • kropot72
Not really. Now divide both sides by 5, to get the quadratic that i posted.
anonymous
  • anonymous
I don't understand. Why do I have to divide both sides by 5?
kropot72
  • kropot72
To make the original quadratic much simpler to factorize. \[\large x^{2}-x-6=(x+?)(x-?)\]
anonymous
  • anonymous
(x + 2)(x - 3) ?
kropot72
  • kropot72
Correct. Now can you see the roots?
anonymous
  • anonymous
yes. Thank you so much. Now I finally understand. :)
kropot72
  • kropot72
You're welcome :)

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