Question

{X belongs to r : |x - 2| = x^2}
is equal to

​

Answer 1

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Here's ur answer

|x-2| = x²

x - 2 = x²

x² - x + 2 = 0

b²-4ac = (-1)² - 4*1*2

            = 1 - 8

            = -7

Since the determinant = D = b²-4ac is negative the relation belongs to the imaginary numbers

Hence

x = [ -b ± (√D) ]/2a

x = [ 1 ± √-7]/2

Hence,

x = (1+√7i)/2

x = (1-√7i)/2

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