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anonymous

  • one year ago

Find all solutions to the equation. 7 sin2x - 14 sin x + 2 = -5 Can someone walk me through this? The online notes are little help.

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  1. Astrophysics
    • one year ago
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    You can set it up as \[sinx = x\] then you have \[7x^2-14x+2 = -5\] or you can just use sinx, but this may seem easier to you so you can plug in sinx afterwards for x. You'll have to use difference of squares.

  2. marihelenh
    • one year ago
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    First, add the 5 to both side to get a 0 on the right side.

  3. Astrophysics
    • one year ago
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    Yeah.

  4. anonymous
    • one year ago
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    Then I just solve for x?

  5. anonymous
    • one year ago
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    Okay thanks. I didn't realize it was that simple.

  6. marihelenh
    • one year ago
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    You can factor out a seven and then factor for the rest.

  7. Astrophysics
    • one year ago
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    Yeah, and you'll have to plug sinx back as x to find the solution

  8. anonymous
    • one year ago
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    So you'd finally come to 7(x+1)(x-1) then what do you do?

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