anonymous
  • anonymous
6b^2-5b=4 solve the equation and check your solution
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
To solve it, you must get everything to one side so the equation equals zero. 6b^2 - 5b - 4 = 0 Then factor it.
anonymous
  • anonymous
Do you know how to factor that?
anonymous
  • anonymous
no thats as far as ive gotten

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anonymous
  • anonymous
is the 6b^2-5b-4=0
anonymous
  • anonymous
Do you know if you use trial and error, bottoms up, or what method you usually use?
anonymous
  • anonymous
foil
anonymous
  • anonymous
Foil would be to check it
anonymous
  • anonymous
Factoring is taking it apart. We'll use trial and error. Multiply the first and last numbers and you get -24
anonymous
  • anonymous
What multiplies to be -24 and adds to be -5 (the middle term)
anonymous
  • anonymous
3 and 8
anonymous
  • anonymous
Yeah, 3 and -8. So you know your "inner" and outter terms have to equal 3 and
anonymous
  • anonymous
6 factors to be 2 * 3 or 1 * 6 and 4 can be 2 * 2 or 4 *1
anonymous
  • anonymous
You know you have to have "3" for one of your numbers, so you know it's set up like this.... (3x + ____) (2x + ____)
anonymous
  • anonymous
Since you know you need a 3. that last blank must be a positive 1. (3x + ___)(2x + 1) . That makes your outter terms equal 3.
anonymous
  • anonymous
Therefore your inner terms must equal -8. So what would need to go in that blank?
anonymous
  • anonymous
-4
anonymous
  • anonymous
Yup. So that gives you (3x - 4)(2x + 1) Then to check it, just FOIL it back together.
anonymous
  • anonymous
ok thanks
anonymous
  • anonymous
you're welcome
anonymous
  • anonymous
wait shouldnt the answer come out to be x= and then like 2 fractions cause on the last one that i did that asked for the equation to be solved and check solution it came out to be n=-1/3 and 2/5
anonymous
  • anonymous
Yes, just set each ( ) equal to zero and solve. The answers should be x = 4/3 and x = -1/2

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