Solve `|x|= x^2-1` – InterviewSolution

InterviewSolution

1.	Solve `\|x\|= x^2-1`
Answer» `x^2-1 = \|x\|` ` rArr x^2-1 = x when x ge 0 ` or `x^2 =-x when x lt 0` `rArr x^2 -x-1 =0 rArr x= (1+ sqrt(5))/(2) ("as "x ge 0 )` `x^+x-1=0 rArr x =(-1-sqrt( 5))/(2) ("as " x lt 0 )`

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