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(√x+15) +√x= 15 How to find …

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(√x+15) +√x= 15 How to find the solution?

    • Posted by Manash Das 7 years, 3 months ago

    Entrance Exam > JEE main > Mathematics
    • 1 answers

    Naveen Sharma 7 years, 3 months ago

    {tex}\sqrt {x+15}+\sqrt x = 15 {/tex}

    {tex}=> \sqrt {x+15} = 15- \sqrt x {/tex}

    squaring both sides, we get 

    {tex}=> x+15 = 225 + x + 30\sqrt x{/tex}

    {tex}=> 30\sqrt x = 210{/tex}

    {tex}=> \sqrt x = 7{/tex}

    squaring both sides, we get

    {tex}=> x = 49 {/tex}

    1Thank You

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