If x2 - 2x + 1 = 0, find the value of
x + x + x² + x²
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FIRST FACTORISE THEN YOU WILL GET THE VALUE OF x THE PUT THE VALUE OF x IN THE GIVEN EQUATION..
HOPE IT HELPS.
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Solution:-
=> x² - 2x + 1 = 0
by mid term splitting.
=> x² - x - x + 1 = 0
=> x ( x - 1 ) - 1 ( x - 1 ) = 0
=> ( x - 1 ) ( x - 1 ) = 0
=> x - 1 = 0 or x - 1 = 0
we get x = 1 from both
=> x = 1
put x = 1 in below
=> x + x + x² + x²
=> 1 + 1 + 1² + 1²
=> 1 + 1 + 1 + 1
=> 4
Hence, x + x + x² + x² = 4
i hope it helps you.
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