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Given Quadratic Equation -
=> 2x² - 2√2 x + 1 = 0 .
To find -
Find the roots of the equation .
Solution -
=> 2x² - 2√2 x + 1 = 0
=> 2x² - √2 x - √2x + 1 = 0
=> √2x ( √2x - 1 ) - ( √2 x - 1 ) = 0
=> ( √2 x - 1 )( √2 x - 1 ) = 0 .
=> ( √2 x - 1 )² = 0 .
Thus , the roots of this equation are overlapping .
Roots -
=> [ √2 x - 1 ] = 0
=> √2 x = 1
=> x = 1 / √2
=> x = { 1 / √2 } × { √2 / √2 }
=> x = { √2 / 2 } .
Thus , the roots of the equation is { √2 / 2 } .
This is the answer .
.
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Answered by
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Root2 / 2
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Hope it help u
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