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.Value of x satisfyingis,​

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Step by step solution:

Given \ \sqrt{x + 3} + \sqrt{x - 2} =5\\\\we \ have \ to \ find \ x\\\\\sqrt{x + 3}=5-\sqrt{x - 2}\\\\squaring \ on \ both \ side \ we \ get\\\\x+3=25+x-2-10\sqrt{x - 2}\\\\x-x+10\sqrt{x - 2}=23-3\\\\10\sqrt{x - 2}=20\\\\\sqrt{x - 2}=2\\\\Again \ squaring \ on \ both \ side \ we \ get\\\\x-2=4\\\\x=6

HOPE it is clear to you.


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