The number of real solution of the equat...

The number of real solution of the equation `x^(2)-3|x|+2=0` is

A

4

B

1

C

3

D

2

Verified by Experts

The correct Answer is:

A

Since, `|x|^(2)-3|x|+2=0`
`implies(|x|-1)(|x|-2)=0`
`implies|x|=1,2.`
`therefore x=1, -1,2,-2`
Hence four real solutions exist.

Similar Questions

Explore conceptually related problems

The number of real roots of the equation |x|^(2)-3|x|+2=0 is

The number of real solutions of the equation (9//10)^x=-3+x-x^2 is a. 2 b. 0 c. 1 d. none of these

The number of real solution of the equation tan^(-1) sqrt(x^(2) - 3x + 2) + cos^(-1) sqrt(4x - x^(2) -3) = pi is

The number of real solution of the equation sqrt(1+cos2x)=sqrt2 sin^(-1)(sinx),-piltxltpi"is"

The number of real solution of the equation tan^(-1) sqrt(x^2-3x +7) + cos^(-1) sqrt(4x^2-x + 3) = pi is

Find the number of real solution of the equation (cos x)^(5)+(sin x)^(3)=1 in the interval [0, 2pi]

Find the number of real solutions to the equation log_(0.5)x=|x| .

The number of real root of the equation e^(x-1)+x-2=0 , is

Number of solutions of the equation |2-|x||=x +4 is

Product of real roots of the equation x^(2)+|x|+9=0