Let us first factorize `x^2-x-1` For that let `x^2 - x- 1 =0` `rArr x=(1pmsqrt(1+4))/(2)=(1pmsqrt(5))/2` Now on the number line ( x- axis ) mark `x=(1pmsqrt(5))/2` From the sign scheme of `x^2 -x-1`
x^2-x-1 lt 0`rArr x in ((1-sqrt(5))/2,(1+sqrt(5))/2)`
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