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anonymous

  • 5 years ago

i have the answer but the problem but no explanation.. i need to know how to solve this. how do i get there. thanks. 4x2 = -8x -1 the answer comes out to this fraction -2 ±√3 ________ 2

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  1. anonymous
    • 5 years ago
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    and the problem... here is a picture just in case

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  2. anonymous
    • 5 years ago
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    use the quadratic formula after getting all terms on one side 4x2+8x+1 so a=4, b=8, and c=1 plug into qf

  3. anonymous
    • 5 years ago
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    did you take a look at the picture? it didnt type out correctly. sorry. i really appreciate your help.

  4. anonymous
    • 5 years ago
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    I understood the problem..do you know the quadratic formula?

  5. anonymous
    • 5 years ago
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    not really

  6. anonymous
    • 5 years ago
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    ok I will type it out

  7. anonymous
    • 5 years ago
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    thank you so much

  8. anonymous
    • 5 years ago
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    \[-b \pm \sqrt{b ^{2}-4ac}/2a\]

  9. anonymous
    • 5 years ago
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    2a is in the denominator so substitute a, b, and c

  10. anonymous
    • 5 years ago
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    \[-8 \pm \sqrt{64-16}/ 8\]

  11. anonymous
    • 5 years ago
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    \[-8\pm \sqrt{48}/8 = -8\pm \sqrt{16*3} /8 -8\pm4\sqrt{3} /8\]

  12. anonymous
    • 5 years ago
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    I skipped the initial step of plugging in the values for a, b, and c do you get that part?

  13. anonymous
    • 5 years ago
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    yes i do thank you

  14. anonymous
    • 5 years ago
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    so do you understand it

  15. anonymous
    • 5 years ago
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    its for friend, but yes i think so. im passing the info along. thank you for your time.

  16. anonymous
    • 5 years ago
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    ok you're very welcome

  17. anonymous
    • 5 years ago
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    one last question.. how did you know that the qf was necessary? just in case other problems like these come up. how can i decipher whether i need it or not.

  18. anonymous
    • 5 years ago
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    if you can't solve the quadratic equation by factoring then your other options are by completing the square or the quadratic formula

  19. anonymous
    • 5 years ago
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    not sure if youre still there, but one thing my friend didnt understand was how it was simplified to the final answer. isnt the 4 outside the square root technically tied to it and you can't really simplify it?

  20. radar
    • 5 years ago
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    The simplification was valid. The 48 inside the radical was factored to 16 and 3, the square root of 16 was accomplished by moving the 4 outside of the radical leaving only the square root of 3 within the radical.

  21. radar
    • 5 years ago
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    The simplification of\[-8\pm(4\sqrt{3})/8=-4(2\pm \sqrt{3})/8=(-2\pm \sqrt{3})/2\]

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