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Thread: Infinitive

  1. #1
    Member srirahulan's Avatar
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    Lightbulb Infinitive

    if $\displaystyle y=\sqrt{x+\sqrt{x+\sqrt{x+.......$........Show that $\displaystyle y=\frac{1+\sqrt{4x+1}}{2}$
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  2. #2
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    Re: Infinitive

    Quote Originally Posted by srirahulan View Post
    if $\displaystyle y=\sqrt{x+\sqrt{x+\sqrt{x+.......$........Show that $\displaystyle y=\frac{1+\sqrt{4x+1}}{2}$
    Note that $\displaystyle y=\sqrt{x+y}$. Solve for $\displaystyle y$.
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