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![if \: x + \sqrt{ {x}^{2} - 9} = 3 \\ then \: find \: the \: value \: of \: x - \sqrt{ {x}^{2} - 9} if \: x + \sqrt{ {x}^{2} - 9} = 3 \\ then \: find \: the \: value \: of \: x - \sqrt{ {x}^{2} - 9}](https://tex.z-dn.net/?f=if+%5C%3A+x+%2B++%5Csqrt%7B+%7Bx%7D%5E%7B2%7D++-++9%7D++%3D+3+%5C%5C+then+%5C%3A+find+%5C%3A+the+%5C%3A+value+%5C%3A+of+%5C%3A+x+-++%5Csqrt%7B+%7Bx%7D%5E%7B2%7D++-+9%7D+)
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√x^2-9=3-x
squaring the equation, then it becomes,
x^2-9=(3-x)^2
=x^2-9=9+x^2-6x
=-6x=-18
that is,x=3.
Therefore, x-√x^2-9=3-√9-9
=3-0=3.
Therefore, 3 is the required answer.
Hope it helps.
Please mark it as brainliest.
squaring the equation, then it becomes,
x^2-9=(3-x)^2
=x^2-9=9+x^2-6x
=-6x=-18
that is,x=3.
Therefore, x-√x^2-9=3-√9-9
=3-0=3.
Therefore, 3 is the required answer.
Hope it helps.
Please mark it as brainliest.
ChristyJacob123:
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