(ii) |x^2 - x - 2| = 2 + x - x^2
find x
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Answer:
=> |x2 - 2 - x| = 2 + x - x2
=> x2 - 2 - x = 2 + x - x2
=> x2 + x2 - 2 - 2 - x - x = 0
=> 2x2 - 4 - 2x
=> 2 ( x2 - 2 - x) = 0
=> x2 - 2 - x = 0
=> x2 - x -2 = 0
=> x2 + x - 2x - 2 = 0
=> x ( x + 1) -2 (x + 1)
=> (x + 1) (x - 2)
=> x + 1 = 0 => x - 2= 0
=> x = -1 => x = 2
Step-by-step explanation:
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