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The positive root of the equation x^2+14=29 lies between?

1 Answer

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Given:

The equation is:


x^2+14=29

Find-:

The positive root of the equation

Explanation-:

The positive roots is:


\begin{gathered} x^2+14=29 \\ \\ x^2=29-14 \\ \\ x^2=15 \end{gathered}

The positive root is:


\begin{gathered} x^2=15 \\ \\ x=\pm√(15) \\ \\ x=√(15)\text{ and }x=-√(15) \end{gathered}

The positive root is:


\begin{gathered} x=√(15) \\ \\ x=3.873 \end{gathered}

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