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anonymous

  • 5 years ago

6b^2-5b=4 solve the equation and check your solution

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  1. anonymous
    • 5 years ago
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    To solve it, you must get everything to one side so the equation equals zero. 6b^2 - 5b - 4 = 0 Then factor it.

  2. anonymous
    • 5 years ago
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    Do you know how to factor that?

  3. anonymous
    • 5 years ago
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    no thats as far as ive gotten

  4. anonymous
    • 5 years ago
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    is the 6b^2-5b-4=0

  5. anonymous
    • 5 years ago
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    Do you know if you use trial and error, bottoms up, or what method you usually use?

  6. anonymous
    • 5 years ago
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    foil

  7. anonymous
    • 5 years ago
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    Foil would be to check it

  8. anonymous
    • 5 years ago
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    Factoring is taking it apart. We'll use trial and error. Multiply the first and last numbers and you get -24

  9. anonymous
    • 5 years ago
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    What multiplies to be -24 and adds to be -5 (the middle term)

  10. anonymous
    • 5 years ago
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    3 and 8

  11. anonymous
    • 5 years ago
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    Yeah, 3 and -8. So you know your "inner" and outter terms have to equal 3 and

  12. anonymous
    • 5 years ago
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    6 factors to be 2 * 3 or 1 * 6 and 4 can be 2 * 2 or 4 *1

  13. anonymous
    • 5 years ago
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    You know you have to have "3" for one of your numbers, so you know it's set up like this.... (3x + ____) (2x + ____)

  14. anonymous
    • 5 years ago
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    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.

  15. anonymous
    • 5 years ago
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    Therefore your inner terms must equal -8. So what would need to go in that blank?

  16. anonymous
    • 5 years ago
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    -4

  17. anonymous
    • 5 years ago
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    Yup. So that gives you (3x - 4)(2x + 1) Then to check it, just FOIL it back together.

  18. anonymous
    • 5 years ago
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    ok thanks

  19. anonymous
    • 5 years ago
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    you're welcome

  20. anonymous
    • 5 years ago
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    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

  21. anonymous
    • 5 years ago
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    Yes, just set each ( ) equal to zero and solve. The answers should be x = 4/3 and x = -1/2

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