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)`
Topper's Solved these Questions
SET THEORY AND REAL NUMBER SYSTEM
CENGAGE|Exercise Exercise 1.1|12 Videos
SET THEORY AND REAL NUMBER SYSTEM
CENGAGE|Exercise Exercise 1.2|8 Videos
SEQUENCE AND SERIES
CENGAGE|Exercise Question Bank|1 Videos
SETS AND RELATIONS
CENGAGE|Exercise Question Bank|3 Videos
Similar Questions
Explore conceptually related problems
Solve x^2-x-1=0.
Solve |5x-12| lt -2
Solve x^(2) lt "sin" pi/2 x .
Solve: |5x - 12| lt -2.
Draw the graph of the function: Solve |(x^2)/(x-1)|lt=1 using the graphical method.
Solve tan x lt 2 .
Solve |5x-12|lt-2.
Solve log_(2)|x-1| lt 1 .
CENGAGE-SET THEORY AND REAL NUMBER SYSTEM -Archieves
