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Solve |x|= x^2-1...

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

Text Solution

Verified by Experts

`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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