Home
Class 12
MATHS
solve sqrt(x+2) ge x...

solve `sqrt(x+2) ge x `

Text Solution

Verified by Experts

The correct Answer is:
` x in [-2,2]`

`sqrt(x+2) ge x `
`rArr x+2 ge x^2 for x ge 0 `
`rArr x^2 - x-2 le 0 `
`rArr ( x-2)( x+1)le 0 `
`rArr in [0,2]`
`x lt "0 always valid but" x + 2 ge 0 `
`rArr x ge -2`
`x in [ -2 , 2]`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.4|11 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.5|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 sqrt(x-2) le 3

Solve x sqrt(x ) ge sqrt( x )-3

Solve sqrt(5)x^(2) + x + sqrt(5)=0

Solve sqrt(x +5) = 2x +3 using formula method.

Solve sqrt(x-2)geq-1.

Solve sqrt(2)x^(2) +x + sqrt(2)=0

Solve sqrt(x^(2)+1) = x-5

Solve sqrt(4x-5)< x+2

Solve x=sqrt(3x+4)