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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 ago

Entrance Exam > JEE main > Mathematics

1 answers

Naveen Sharma 7 years 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

ANSWER

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