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  • Nlj2014

    \[\sqrt{(x+3)^2+(5-20)^2}=17\]

    \[ \sqrt{(x+3)^2+225}=17\]

    \[(x+3)^2+225=17\]

    \[(x+3)^2=64\]

    \[\pm\sqrt{(x+2)^2}=\sqrt{64}\]

    \[x+3=8\text{ or } -x-3=8\]

    Therefore,

    \[x=5 \text{ or } x=-11\]

    \[x=max(5,-11)=5\]

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