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Math Help - Quadratic Equation: please sove

  1. #1
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    Quadratic Equation: please sove

    Solve the quadratic equation of x

    (sin(2a)).x2 - 2.x.(sin(a)+cos(a)) +2 =0

    Kindly explain your answer.
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  2. #2
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    Re: Quadratic Equation: please sove

    Rewrite \sin {2a} as 2 \sin a \cos a and divide everything by 2:

    (\sin a \cos a )x^2 - (\sin a + \cos a)x + 1 = 0

    Apparently this factors to

    (x \sin a - 1)(x \cos a - 1) = 0.

    Solve for x.
    Last edited by richard1234; August 6th 2012 at 05:46 PM.
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  3. #3
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    Re: Quadratic Equation: please sove

    Thanks for it Richard. I appreciate it but I still don't get it. Can you explain it further?
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  4. #4
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    Re: Quadratic Equation: please sove

    What step don't you get?
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  5. #5
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    Re: Quadratic Equation: please sove

    In the substitution.
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  6. #6
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    Re: Quadratic Equation: please sove

    Trig identity, \sin 2a = 2 \sin a \cos a for all a.
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  7. #7
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    Re: Quadratic Equation: please sove

    Thanks!
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