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Math Help - kindly explain the step

  1. #1
    Member moonnightingale's Avatar
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    kindly explain the step

    how he is using the d
    plz do in simple steps
    file attached
    Attached Thumbnails Attached Thumbnails kindly explain the step-new-bitmap-image.jpg  
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: kindly explain the step

    If you write:
    \sqrt{(h_t+h_r)^2+d^2} as  \sqrt{d^2\cdot\left(\frac{(h_t+h_r)^2}{d^2}+1 \right)}= ...
    Can you complete? ...
    For the other term it's similar.
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  3. #3
    Member Goku's Avatar
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    Re: kindly explain the step

    First take the d^2 as a common factor for both terms and then work from there..
    i.e (ht + hr)^2 +d^2 = d^2 [(ht+hr)^2 / d^2 + 1]
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  4. #4
    Member moonnightingale's Avatar
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    Re: kindly explain the step

    other term is delta
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  5. #5
    Member moonnightingale's Avatar
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    Re: kindly explain the step

    Quote Originally Posted by Goku View Post
    First take the d^2 as a common factor for both terms and then work from there..
    i.e (ht + hr)^2 +d^2 = d^2 [(ht+hr)^2 / d^2 + 1]
    yes i am also dowing like this but why he has written simple d as a common factor
    it should be d^2 as u wrote
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  6. #6
    MHF Contributor Siron's Avatar
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    Re: kindly explain the step

    Because you have to take the square root.
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  7. #7
    Member Goku's Avatar
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    Re: kindly explain the step

    take the square root of d^2 [(ht+hr)^2 / d^2 + 1], this whole term is underneath a square root...
    (d^2 [(ht+hr)^2 / d^2 + 1])^1/2 = d [(ht+hr)^2 / d^2 + 1]^1/2
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  8. #8
    Member moonnightingale's Avatar
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    Re: kindly explain the step

    no it is not working
    can u show me these simple steps
    thanks a lot
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  9. #9
    Member moonnightingale's Avatar
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    Re: kindly explain the step

    Quote Originally Posted by Goku View Post
    take the square root of d^2 [(ht+hr)^2 / d^2 + 1], this whole term is underneath a square root...
    (d^2 [(ht+hr)^2 / d^2 + 1])^1/2 = d [(ht+hr)^2 / d^2 + 1]^1/2
    Thanks a lot Goku
    it is solved now
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  10. #10
    Member Goku's Avatar
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    Re: kindly explain the step



    x = d^2

    y = (ht+hr)^2 / d^2 + 1
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