Home
Class 12
MATHS
Solve the equation sqrt(x)=x-2...

Solve the equation `sqrt(x)=x-2`

Text Solution

Verified by Experts

We have `sqrt(x)=x-2`
On squaring both sides we obtain
`x=(x-2)^(2)`
`impliesx^(2)-5x+4=0implies(x-1)(x-4)=0`
`:.x_(1)=1` and `x_(2)=4`
Hence `x_(1)=4` satisfies the original equation, but `x_(2)=1` does not satisfy the original equation.
`:.x_(2)=1` is the extraneous root.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|11 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 8 : (Questions Asked in Previous 13 years Exams)|1 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

Similar Questions

Explore conceptually related problems

Solve the equation sqrt((x+3))-sqrt((x-2))=7

Solve the equation sqrt(x^(2)+12y)+ sqrt(y^(2)+12x)=33,x+y=23.

Solve the equation sqrt((6-4x-x^(2)))=x+4

Solve the equation sqrt((6-x))(3^(x^(2)-7.2x+3.9)-9sqrt(3))=0

Solve the equation sqrt(2x-1)+sqrt(3x-2)=sqrt(4x-3)+sqrt(5x-4).

Solve the equation (2+sqrt(3))^(x^(2)-2x+1)+(2-sqrt(3))^(x^(2)-2x-1)=101/(10(2-sqrt(3))

Solve the equation sqrt(1-x^2)dy+sqrt(1-y^2)dx=0 , given that when x=1, y=sqrt3/2 .

Solve the inequation sqrt((x+14))lt(x+2)

Solve the equation tan^(-1)sqrt(x^(2)+x+sin^(-1))sqrt(x^(2)+x+1)=(pi)/(2) .

Solve the equation sqrt3cos x + sin x = sqrt2 .

Home
Profile